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Finding the Fourth Proportional to 122.67, 168.89 and 111.08

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Solution

The fourth proportional to 122.67, 168.89 and 111.08 is: 152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.67 : 168.89 = 111.08 : x
  2. Step 2: Convert to fraction form
    122.67/168.89 = 111.08/x
  3. Step 3: Cross multiply
    122.67x = 168.89 × 111.08
  4. Step 4: Simplify right side
    122.67x = 18,758.90
  5. Step 5: Solve for x
    x = 18,758.90/122.67
  6. Step 6: Final answer
    x = 152.92

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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.