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Finding the Fourth Proportional to 82.72, 123.42 and 75.76

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Solution

The fourth proportional to 82.72, 123.42 and 75.76 is: 113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.72 : 123.42 = 75.76 : x
  2. Step 2: Convert to fraction form
    82.72/123.42 = 75.76/x
  3. Step 3: Cross multiply
    82.72x = 123.42 × 75.76
  4. Step 4: Simplify right side
    82.72x = 9,350.30
  5. Step 5: Solve for x
    x = 9,350.30/82.72
  6. Step 6: Final answer
    x = 113.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.