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Finding the Fourth Proportional to 121.92, 168.17 and 85.07

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Solution

The fourth proportional to 121.92, 168.17 and 85.07 is: 117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 168.17 = 85.07 : x
  2. Step 2: Convert to fraction form
    121.92/168.17 = 85.07/x
  3. Step 3: Cross multiply
    121.92x = 168.17 × 85.07
  4. Step 4: Simplify right side
    121.92x = 14,304.96
  5. Step 5: Solve for x
    x = 14,304.96/121.92
  6. Step 6: Final answer
    x = 117.33

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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.