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Finding the Fourth Proportional to 121.24, 168.49 and 119.92

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Solution

The fourth proportional to 121.24, 168.49 and 119.92 is: 166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.24 : 168.49 = 119.92 : x
  2. Step 2: Convert to fraction form
    121.24/168.49 = 119.92/x
  3. Step 3: Cross multiply
    121.24x = 168.49 × 119.92
  4. Step 4: Simplify right side
    121.24x = 20,205.32
  5. Step 5: Solve for x
    x = 20,205.32/121.24
  6. Step 6: Final answer
    x = 166.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.