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Finding the Fourth Proportional to 54.10, 81.17 and 38.91

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Solution

The fourth proportional to 54.10, 81.17 and 38.91 is: 58.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.10 : 81.17 = 38.91 : x
  2. Step 2: Convert to fraction form
    54.10/81.17 = 38.91/x
  3. Step 3: Cross multiply
    54.10x = 81.17 × 38.91
  4. Step 4: Simplify right side
    54.10x = 3,158.58
  5. Step 5: Solve for x
    x = 3,158.58/54.10
  6. Step 6: Final answer
    x = 58.38

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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.