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Finding the Fourth Proportional to 83.14, 113.96 and 82.78

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Solution

The fourth proportional to 83.14, 113.96 and 82.78 is: 113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.14 : 113.96 = 82.78 : x
  2. Step 2: Convert to fraction form
    83.14/113.96 = 82.78/x
  3. Step 3: Cross multiply
    83.14x = 113.96 × 82.78
  4. Step 4: Simplify right side
    83.14x = 9,433.61
  5. Step 5: Solve for x
    x = 9,433.61/83.14
  6. Step 6: Final answer
    x = 113.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.