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Finding the Fourth Proportional to 122.32, 168.87 and 102.97

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Solution

The fourth proportional to 122.32, 168.87 and 102.97 is: 142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.32 : 168.87 = 102.97 : x
  2. Step 2: Convert to fraction form
    122.32/168.87 = 102.97/x
  3. Step 3: Cross multiply
    122.32x = 168.87 × 102.97
  4. Step 4: Simplify right side
    122.32x = 17,388.54
  5. Step 5: Solve for x
    x = 17,388.54/122.32
  6. Step 6: Final answer
    x = 142.16

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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.