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Finding the Fourth Proportional to 40.57, 61.17 and 37.96

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Solution

The fourth proportional to 40.57, 61.17 and 37.96 is: 57.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.57 : 61.17 = 37.96 : x
  2. Step 2: Convert to fraction form
    40.57/61.17 = 37.96/x
  3. Step 3: Cross multiply
    40.57x = 61.17 × 37.96
  4. Step 4: Simplify right side
    40.57x = 2,322.01
  5. Step 5: Solve for x
    x = 2,322.01/40.57
  6. Step 6: Final answer
    x = 57.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.