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Finding the Fourth Proportional to 42.72, 63.94 and 29.69

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Solution

The fourth proportional to 42.72, 63.94 and 29.69 is: 44.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.72 : 63.94 = 29.69 : x
  2. Step 2: Convert to fraction form
    42.72/63.94 = 29.69/x
  3. Step 3: Cross multiply
    42.72x = 63.94 × 29.69
  4. Step 4: Simplify right side
    42.72x = 1,898.38
  5. Step 5: Solve for x
    x = 1,898.38/42.72
  6. Step 6: Final answer
    x = 44.44

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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.