Let  $a_1,a_2,a_3,a_4,a_5$ be five terms of an increasing geometric progression such that $a_1,a_2,a_3,a_4,a_5\in N,$ and $a_5<100$. Then the number of possible geometric progression (is/are) ________

Let $\frac{n}{m}$ be the common ratio of G.P.. where n and m are co prime integer n>m
$\mu r^2\omega =nh\mathrm{...}\left(3\right)$ so let $a_1=k{m}^4(k\in 1^{+})$
G.P  $k{m}^4,k{m}^{3}n,k{m}^2{n}^2,km{n}^3,k{n}^4$
$k{n}^4<100\Rightarrow n$ can’t be greater than or equal to 4