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Finding the Fourth Proportional to 122.92, 169.61 and 93.76

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Solution

The fourth proportional to 122.92, 169.61 and 93.76 is: 129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 169.61 = 93.76 : x
  2. Step 2: Convert to fraction form
    122.92/169.61 = 93.76/x
  3. Step 3: Cross multiply
    122.92x = 169.61 × 93.76
  4. Step 4: Simplify right side
    122.92x = 15,901.79
  5. Step 5: Solve for x
    x = 15,901.79/122.92
  6. Step 6: Final answer
    x = 129.37

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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.