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Finding the Fourth Proportional to 42.03, 62.97 and 31.17

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Solution

The fourth proportional to 42.03, 62.97 and 31.17 is: 46.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.03 : 62.97 = 31.17 : x
  2. Step 2: Convert to fraction form
    42.03/62.97 = 31.17/x
  3. Step 3: Cross multiply
    42.03x = 62.97 × 31.17
  4. Step 4: Simplify right side
    42.03x = 1,962.77
  5. Step 5: Solve for x
    x = 1,962.77/42.03
  6. Step 6: Final answer
    x = 46.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.