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Finding the Fourth Proportional to 54.81, 82.17 and 41.31

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Solution

The fourth proportional to 54.81, 82.17 and 41.31 is: 61.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.81 : 82.17 = 41.31 : x
  2. Step 2: Convert to fraction form
    54.81/82.17 = 41.31/x
  3. Step 3: Cross multiply
    54.81x = 82.17 × 41.31
  4. Step 4: Simplify right side
    54.81x = 3,394.44
  5. Step 5: Solve for x
    x = 3,394.44/54.81
  6. Step 6: Final answer
    x = 61.93

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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.