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Finding the Fourth Proportional to 42.14, 63.17 and 15.07

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Solution

The fourth proportional to 42.14, 63.17 and 15.07 is: 22.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.14 : 63.17 = 15.07 : x
  2. Step 2: Convert to fraction form
    42.14/63.17 = 15.07/x
  3. Step 3: Cross multiply
    42.14x = 63.17 × 15.07
  4. Step 4: Simplify right side
    42.14x = 951.85
  5. Step 5: Solve for x
    x = 951.85/42.14
  6. Step 6: Final answer
    x = 22.59

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