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Finding the Fourth Proportional to 122.32, 168.17 and 112.84

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Solution

The fourth proportional to 122.32, 168.17 and 112.84 is: 155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.32 : 168.17 = 112.84 : x
  2. Step 2: Convert to fraction form
    122.32/168.17 = 112.84/x
  3. Step 3: Cross multiply
    122.32x = 168.17 × 112.84
  4. Step 4: Simplify right side
    122.32x = 18,976.30
  5. Step 5: Solve for x
    x = 18,976.30/122.32
  6. Step 6: Final answer
    x = 155.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.