we know that
[scale]=[poster]/[painting]
[poster]=[painting]*[scale]
scale=1/5
then
for high = 65 in (painting)
[poster]=[painting]*[scale]-----------> [65]*[1/5]-----> 65/5-------> 13 in
for wide = 105 in (painting)
[poster]=[painting]*[scale]-----------> [105]*[1/5]-----> 105/5-------> 21 in
the answer is
The dimensions of the poster will be 15 in x 21 in