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Finding the Fourth Proportional to 83.10, 125.18 and 75.92

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Solution

The fourth proportional to 83.10, 125.18 and 75.92 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.10 : 125.18 = 75.92 : x
  2. Step 2: Convert to fraction form
    83.10/125.18 = 75.92/x
  3. Step 3: Cross multiply
    83.10x = 125.18 × 75.92
  4. Step 4: Simplify right side
    83.10x = 9,503.67
  5. Step 5: Solve for x
    x = 9,503.67/83.10
  6. Step 6: Final answer
    x = 114.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.