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Finding the Fourth Proportional to 40.24, 59.97 and 38.71

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Solution

The fourth proportional to 40.24, 59.97 and 38.71 is: 57.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.24 : 59.97 = 38.71 : x
  2. Step 2: Convert to fraction form
    40.24/59.97 = 38.71/x
  3. Step 3: Cross multiply
    40.24x = 59.97 × 38.71
  4. Step 4: Simplify right side
    40.24x = 2,321.44
  5. Step 5: Solve for x
    x = 2,321.44/40.24
  6. Step 6: Final answer
    x = 57.69

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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.