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Finding the Fourth Proportional to 44.31, 61.14 and 29.73

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Solution

The fourth proportional to 44.31, 61.14 and 29.73 is: 41.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.31 : 61.14 = 29.73 : x
  2. Step 2: Convert to fraction form
    44.31/61.14 = 29.73/x
  3. Step 3: Cross multiply
    44.31x = 61.14 × 29.73
  4. Step 4: Simplify right side
    44.31x = 1,817.69
  5. Step 5: Solve for x
    x = 1,817.69/44.31
  6. Step 6: Final answer
    x = 41.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.