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Finding the Fourth Proportional to 41.14, 61.32 and 38.53

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Solution

The fourth proportional to 41.14, 61.32 and 38.53 is: 57.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.14 : 61.32 = 38.53 : x
  2. Step 2: Convert to fraction form
    41.14/61.32 = 38.53/x
  3. Step 3: Cross multiply
    41.14x = 61.32 × 38.53
  4. Step 4: Simplify right side
    41.14x = 2,362.16
  5. Step 5: Solve for x
    x = 2,362.16/41.14
  6. Step 6: Final answer
    x = 57.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.