Ok, here it is, the final solution to that annoying vibration which is going to affect your Land Cruiser as some point and drive you nuts as well as embarrass you if you are trying to impress your passenger with how much better than a range rover your LC is.
However before you begin this job, you need to buy some CT1 grab and bond and multi solve spray from somewhere like Rigeons builders merchants. You will also need some velcro (12") and some cable ties. It took me about three hours to complete this job because I had to discover how it all came apart as I went, however this guide should help you to save some time. You will need to be sure it is not likely to rain though unless you are lucky enough to have a large garage.
You will only use a bit for this job but it is so useful, that it is worth buying.
First unclip the top of the air filter box and remove the air filter. Then undo the three bolts which hold the air filter box in place.
There is a cable running between the air box base and the battery which is attached to a bracket, you will need to release this cable from the bracket before you can then remove the air box base. Once you have removed the base you will have enough space to work in the engine bay.
Now you have to remove the wing liner which involves removing several push clips and five screws. Two screws are found at the front of the liner and three are round the edge of the wheel arch.
Once you have removed the screws and the clips you can pull the liner down to gain access to the inner wing.
With the liner undone you can unscrew the air intake tube from inside the wing.
With the bolt removed you can push the end out of the hole in the wing and then remove the air tube completely.
When you examine the end of the tube that went through the wing you will see some foam tape which is probably all squashed or perished. You need to remove this and use the spray to clean the plastic. Then clean round the hole in the wing.
Now squeeze the Grab and Bond out around the end of the air intake tube. Then push the end back through the hole in the wing.
Make sure the Grab and Bond has squeezed through into the engine bay side of the wing so that the gap is filled. Then twist the tube back to its normal position and refit the screw.
Now spray the Grab and Bond and use your finger to smooth it around the join to give a neat finish.
Now it is time to refit the air box base, however I noticed something which you may want to do to be sure that there are no other causes of rattles. Look at the underside of the air box base and you will see a metal cap insert going through the rubber mounting bushes. This metal cap will be in contact with the metal of the engine bay and might be a cause of a rattle if the bolt becomes lose. However you can push it out and back through the mounting bush so this cap is on the inside of the box.
Now have a look at the rubber connecting pipe which goes inside the air intake tube. It is quite a lose fit and although it is made of rubber, it could still create a noise as it viabrates. So to prevent this possiblity, cut some velcro and use the furry half to wrap around the outside of this rubber connecting pipe. This will make the fit inside the air intake tube better but also create a softer surface which will prevent any noise.
Now carefully refit the air box base into the engine bay but for one final preventative idea, use some rubber washers under the heads of the three bolts that hold it in place. Put the air filter back in and clip the air box top back on. Remember to tie that cable to the bracket so it does not flop about.
Finally refit the wing liner and push the clips back in and do the the screws up and you are done. Now go for a nice peaceful drive which will be free from that vibration noise and make it more of a pleasure.
Hope this will help others cure this problem but if you feel it is too complex to tackle, I could be persuaded to do the job for you if you don't live too far from Bury St Edmunds in Suffolk.