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Finding the Fourth Proportional to 83.20, 114.78 and 52.12

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Solution

The fourth proportional to 83.20, 114.78 and 52.12 is: 71.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.20 : 114.78 = 52.12 : x
  2. Step 2: Convert to fraction form
    83.20/114.78 = 52.12/x
  3. Step 3: Cross multiply
    83.20x = 114.78 × 52.12
  4. Step 4: Simplify right side
    83.20x = 5,982.33
  5. Step 5: Solve for x
    x = 5,982.33/83.20
  6. Step 6: Final answer
    x = 71.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.