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Finding the Fourth Proportional to 42.13, 63.15 and 31.99

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Solution

The fourth proportional to 42.13, 63.15 and 31.99 is: 47.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.13 : 63.15 = 31.99 : x
  2. Step 2: Convert to fraction form
    42.13/63.15 = 31.99/x
  3. Step 3: Cross multiply
    42.13x = 63.15 × 31.99
  4. Step 4: Simplify right side
    42.13x = 2,020.17
  5. Step 5: Solve for x
    x = 2,020.17/42.13
  6. Step 6: Final answer
    x = 47.95

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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.