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Finding the Fourth Proportional to 40.27, 59.92 and 38.13

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Solution

The fourth proportional to 40.27, 59.92 and 38.13 is: 56.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.27 : 59.92 = 38.13 : x
  2. Step 2: Convert to fraction form
    40.27/59.92 = 38.13/x
  3. Step 3: Cross multiply
    40.27x = 59.92 × 38.13
  4. Step 4: Simplify right side
    40.27x = 2,284.64
  5. Step 5: Solve for x
    x = 2,284.64/40.27
  6. Step 6: Final answer
    x = 56.73

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Why These Related Problems?

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