Y:51,6=11,2:34,4

To solve the equation \( y:51.6 = 11.2:34.4 \), we can first rewrite it in a more manageable form. This can be expressed as: \[ \frac{y}{51.6} = \frac{11.2}{34.4} \] Next, we can find the value of the right side of the equation: \[ \frac{11.2}{34.4} \] Calculating this gives: \[ \frac{11.2}{34.4} = \frac{11.2 \div 11.2}{34.4 \div 11.2} = \frac{1}{3.07142857} \approx 0.325 \] Now we can rewrite the equation as: \[ \frac{y}{51.6} \approx 0.325 \] To find \( y \), we can multiply both sides of the equation by \( 51.6 \): \[ y \approx 0.325 \times 51.6 \] Calculating this gives: \[ y \approx 16.8 \] So, the value of \( y \) is approximately 16.8.