Have to absolutely agree with Fazerider,
I am assuming when you measured 10A current the fuse was removed and your meter was across the fuse contacts?
10A is about right for a good loom with 2 off 55w bulbs, not sure how you measured 70 ohms tho??? 2 bulb filiments should measure about 0.7 ohms!!!
sounds like you were measuring the additional resistance of poor contacts between the fuse and fuse holder which as Fazerider says is responsible for the volt drop and excessive heat across the fuse.
only other cause is that the fuse itself has excessivly fatigued and has built up its own internal resistance (rare but can happen)
The 10A was measured across the fuse contacts with the fuse removed, i thought that sounded about right too. I measured the resistance across the fuse contacts also, but I was a bit unsure of which setting to have the multimeter on (200, 20 etc)
I've replaced my H4 bulb and the fuse doesn't seem to be heating up as quickly as before, just gets slightly warm and stays there, but I'll check properly on my commute tomorrow.
@unfazed, I usually have a wire running from the live feed to my H1 bulb to the upper live contact on my H4, so that both lights are on when I have my lights on dipped beam and the second filiment of the H4 comes on when I switch to full beam.
I've gone through several fuses in the past couple of days because I don't want to use ones which look damaged or melted when I'm testing the circuit for problems.
So again thanks everyone for taking such an interest it's really appreciated and I'll see how it goes with the new H4 bulb tomorrow!