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Finding the Fourth Proportional to 83.26, 115.68 and 82.56

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Solution

The fourth proportional to 83.26, 115.68 and 82.56 is: 114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.26 : 115.68 = 82.56 : x
  2. Step 2: Convert to fraction form
    83.26/115.68 = 82.56/x
  3. Step 3: Cross multiply
    83.26x = 115.68 × 82.56
  4. Step 4: Simplify right side
    83.26x = 9,550.54
  5. Step 5: Solve for x
    x = 9,550.54/83.26
  6. Step 6: Final answer
    x = 114.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.