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Finding the Fourth Proportional to 83.27, 123.51 and 82.06

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Solution

The fourth proportional to 83.27, 123.51 and 82.06 is: 121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.27 : 123.51 = 82.06 : x
  2. Step 2: Convert to fraction form
    83.27/123.51 = 82.06/x
  3. Step 3: Cross multiply
    83.27x = 123.51 × 82.06
  4. Step 4: Simplify right side
    83.27x = 10,134.61
  5. Step 5: Solve for x
    x = 10,134.61/83.27
  6. Step 6: Final answer
    x = 121.71

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.