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Finding the Fourth Proportional to 72.56, 108.86 and 71.27

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Solution

The fourth proportional to 72.56, 108.86 and 71.27 is: 106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.56 : 108.86 = 71.27 : x
  2. Step 2: Convert to fraction form
    72.56/108.86 = 71.27/x
  3. Step 3: Cross multiply
    72.56x = 108.86 × 71.27
  4. Step 4: Simplify right side
    72.56x = 7,757.91
  5. Step 5: Solve for x
    x = 7,757.91/72.56
  6. Step 6: Final answer
    x = 106.92

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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.