1. The problem asks us to identify which ratios are equivalent to $5:9$. 2. Two ratios $a:b$ and $c:d$ are equivalent if the cross products are equal, i.e., $a \times d = b \times c$. 3. Check each given ratio: - For $22:27$, check if $5 \times 27 = 9 \times 22$: $$5 \times 27 = 135$$ $$9 \times 22 = 198$$ Since $135 \neq 198$, $22:27$ is not equivalent to $5:9$. - For $60:108$, check if $5 \times 108 = 9 \times 60$: $$5 \times 108 = 540$$ $$9 \times 60 = 540$$ Since $540 = 540$, $60:108$ is equivalent to $5:9$. - For $27:15$, check if $5 \times 15 = 9 \times 27$: $$5 \times 15 = 75$$ $$9 \times 27 = 243$$ Since $75 \neq 243$, $27:15$ is not equivalent to $5:9$. 4. Therefore, the only equivalent ratio to $5:9$ from the list is $60:108$.