  We prove that braided fusion categories of Frobenius-Perron $p^mq^nd$ or
$p^2q^2r^2$ are weakly group-theoretical, where $p,q,r$ are distinct prime
numbers, $d$ is a square-free natural number such that $(pq,d)=1$. As an
application, we obtain that weakly integral braided fusion categories of
Frobenius-Perron dimension less than $1800$ are weakly group-theoretical, and
weakly integral braided fusion categories of odd dimension less than $33075$
are solvable. For the general case, we prove that fusion categories (not
necessarily braided) of Frobenius-Perron dimension $84$ and $90$ either
solvable or group-theoretical. Together with the results in the literature,
this shows that every weakly integral fusion category of Frobenius-Perron
dimension less than $120$ is either solvable or group-theoretical. Thus we
complete the classification of all these fusion categories in terms of Morita
equivalence.
