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Finding the Fourth Proportional to 142.92, 197.15 and 91.17

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Solution

The fourth proportional to 142.92, 197.15 and 91.17 is: 125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.92 : 197.15 = 91.17 : x
  2. Step 2: Convert to fraction form
    142.92/197.15 = 91.17/x
  3. Step 3: Cross multiply
    142.92x = 197.15 × 91.17
  4. Step 4: Simplify right side
    142.92x = 17,973.71
  5. Step 5: Solve for x
    x = 17,973.71/142.92
  6. Step 6: Final answer
    x = 125.76

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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.