I think the Fuji may be a bit older. The big era for the Japanese funny bikes was 1987-1989. It's not in the 1989 catalog, so I suspect it may be 1987-1988. I don't think I've ever seen a Fuji though I've seen versions offered by Miyata, Nishiki and Shogun.
As I locate them, cross-references to specs and catalogs have been listed in post #1 of my Fuji Serial Number Database thread. To the best of my recollection, there is nothing there that matches what you describe. However, if you can get the serial number, it will tell you the year.