1. The problem asks to identify ratios equivalent to 15:12. 2. Two ratios are equivalent if their fractions are equal when simplified. 3. Simplify 15:12 by dividing both terms by their greatest common divisor (GCD), which is 3: $$\frac{15}{12} = \frac{\cancel{3}5}{\cancel{3}4} = \frac{5}{4}$$ 4. Check each given ratio: - 10:8 simplifies by dividing numerator and denominator by 2: $$\frac{10}{8} = \frac{\cancel{2}5}{\cancel{2}4} = \frac{5}{4}$$ - 5:4 is already simplified and equals $\frac{5}{4}$. - 45:36 simplifies by dividing numerator and denominator by 9: $$\frac{45}{36} = \frac{\cancel{9}5}{\cancel{9}4} = \frac{5}{4}$$ 5. Since all three ratios simplify to $\frac{5}{4}$, they are all equivalent to 15:12. Final answer: 10:8, 5:4, and 45:36 are equivalent to 15:12.