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Finding the Fourth Proportional to 126.92, 191.11 and 96.74

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Solution

The fourth proportional to 126.92, 191.11 and 96.74 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.92 : 191.11 = 96.74 : x
  2. Step 2: Convert to fraction form
    126.92/191.11 = 96.74/x
  3. Step 3: Cross multiply
    126.92x = 191.11 × 96.74
  4. Step 4: Simplify right side
    126.92x = 18,488.76
  5. Step 5: Solve for x
    x = 18,488.76/126.92
  6. Step 6: Final answer
    x = 145.68

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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.