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Finding the Fourth Proportional to 72.71, 108.83 and 54.71

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Solution

The fourth proportional to 72.71, 108.83 and 54.71 is: 81.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.71 : 108.83 = 54.71 : x
  2. Step 2: Convert to fraction form
    72.71/108.83 = 54.71/x
  3. Step 3: Cross multiply
    72.71x = 108.83 × 54.71
  4. Step 4: Simplify right side
    72.71x = 5,953.27
  5. Step 5: Solve for x
    x = 5,953.27/72.71
  6. Step 6: Final answer
    x = 81.88

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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.