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Finding the Fourth Proportional to 122.24, 168.72 and 97.86

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Solution

The fourth proportional to 122.24, 168.72 and 97.86 is: 135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.24 : 168.72 = 97.86 : x
  2. Step 2: Convert to fraction form
    122.24/168.72 = 97.86/x
  3. Step 3: Cross multiply
    122.24x = 168.72 × 97.86
  4. Step 4: Simplify right side
    122.24x = 16,510.94
  5. Step 5: Solve for x
    x = 16,510.94/122.24
  6. Step 6: Final answer
    x = 135.07

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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.