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Finding the Fourth Proportional to 91.62, 126.33 and 81.83

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Solution

The fourth proportional to 91.62, 126.33 and 81.83 is: 112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.62 : 126.33 = 81.83 : x
  2. Step 2: Convert to fraction form
    91.62/126.33 = 81.83/x
  3. Step 3: Cross multiply
    91.62x = 126.33 × 81.83
  4. Step 4: Simplify right side
    91.62x = 10,336.95
  5. Step 5: Solve for x
    x = 10,336.95/91.62
  6. Step 6: Final answer
    x = 112.82

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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.