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Finding the Fourth Proportional to 82.72, 123.88 and 67.42

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Solution

The fourth proportional to 82.72, 123.88 and 67.42 is: 100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.72 : 123.88 = 67.42 : x
  2. Step 2: Convert to fraction form
    82.72/123.88 = 67.42/x
  3. Step 3: Cross multiply
    82.72x = 123.88 × 67.42
  4. Step 4: Simplify right side
    82.72x = 8,351.41
  5. Step 5: Solve for x
    x = 8,351.41/82.72
  6. Step 6: Final answer
    x = 100.96

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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.