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Finding the Fourth Proportional to 42.02, 62.65 and 39.72

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Solution

The fourth proportional to 42.02, 62.65 and 39.72 is: 59.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.02 : 62.65 = 39.72 : x
  2. Step 2: Convert to fraction form
    42.02/62.65 = 39.72/x
  3. Step 3: Cross multiply
    42.02x = 62.65 × 39.72
  4. Step 4: Simplify right side
    42.02x = 2,488.46
  5. Step 5: Solve for x
    x = 2,488.46/42.02
  6. Step 6: Final answer
    x = 59.22

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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.