Answer:Step-by-step explanation:Let's say the three numbers are \( 6x \), \( 3x \), and \( 4x \), since the ratio is 6:3:4.The sum of the three numbers is given as 120:\[6x + 3x + 4x = 120\]Simplify the left-hand side:\[13x = 120\]Now, solve for \( x \):\[x = \frac{120}{13} \approx 9.23\]Now, find the three numbers by multiplying each term in the ratio by \( x \):1. \( 6x = 6 \times 9.23 = 55.38 \)2. \( 3x = 3 \times 9.23 = 27.69 \)3. \( 4x = 4 \times 9.23 = 36.92 \)So, the three numbers are approximately **55.38, 27.69, and 36.92**.