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Finding the Fourth Proportional to 60.96, 91.22 and 38.14

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Solution

The fourth proportional to 60.96, 91.22 and 38.14 is: 57.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.96 : 91.22 = 38.14 : x
  2. Step 2: Convert to fraction form
    60.96/91.22 = 38.14/x
  3. Step 3: Cross multiply
    60.96x = 91.22 × 38.14
  4. Step 4: Simplify right side
    60.96x = 3,478.94
  5. Step 5: Solve for x
    x = 3,478.94/60.96
  6. Step 6: Final answer
    x = 57.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.