  We obtain a class of slowly rotating charged Kaluza-Klein black hole
solutions of the five-dimensional Einstein-Maxwell-dilaton theory with
arbitrary dilaton coupling constant. At infinity, the spacetime is effectively
four-dimensional. In the absence of the squashing function, our solution
reduces to the five-dimensional asymptotically flat slowly rotating charged
dilaton black hole solution with two equal angular momenta. We calculate the
mass, the angular momentum and the gyromagnetic ratio of these rotating
Kaluza-Klein dilaton black holes. It is shown that the dilaton field and the
non-trivial asymptotic structure of the solutions modify the gyromagnetic ratio
of the black holes. We also find that the gyromagnetic ratio crucially depends
on the dilaton coupling constant, \alpha, and decreases with increasing \alpha
for any size of the compact extra dimension.
