I had a look in the system chart in an online copy of the FSQ-106N manual and it didn't mention the reducer at all. The fact that it's called a Reducer "QE" also seems to imply it's for the 106ED. Still, that doesn't prove it won't work. You could try asking here:
http://tech.groups.yahoo.com/group/UncensoredTakGroup/
Cheers,
Rick.