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Finding the Fourth Proportional to 122.39, 168.91 and 67.13

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Solution

The fourth proportional to 122.39, 168.91 and 67.13 is: 92.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.39 : 168.91 = 67.13 : x
  2. Step 2: Convert to fraction form
    122.39/168.91 = 67.13/x
  3. Step 3: Cross multiply
    122.39x = 168.91 × 67.13
  4. Step 4: Simplify right side
    122.39x = 11,339.18
  5. Step 5: Solve for x
    x = 11,339.18/122.39
  6. Step 6: Final answer
    x = 92.65

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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.