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The correct answer is $.88$. It’s given that the number $a$ is $60\%$ greater than the positive number $b$. Therefore, $a=\left(1+\frac{60}{100}\right)b$, which is equivalent to $a=\left(1+0.60\right)b$, or $a=1.60b$. It’s also given that the number $c$ is $45\%$ less than $a$. Therefore, $c=\left(1-\frac{45}{100}\right)a$, which is equivalent to $c=\left(1-0.45\right)a$, or $c=0.55a$. Since $a=1.60b$, substituting $1.60b$ for $a$ in the equation $c=0.55a$ yields $c=0.55\left(1.60b\right)$, or $c=0.88b$. Thus, the number $c$ is $0.88$ times the number $b$. Note that .88 and 22/25 are examples of ways to enter a correct answer.