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Finding the Fourth Proportional to 121.67, 168.04 and 98.61

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Solution

The fourth proportional to 121.67, 168.04 and 98.61 is: 136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.67 : 168.04 = 98.61 : x
  2. Step 2: Convert to fraction form
    121.67/168.04 = 98.61/x
  3. Step 3: Cross multiply
    121.67x = 168.04 × 98.61
  4. Step 4: Simplify right side
    121.67x = 16,569.93
  5. Step 5: Solve for x
    x = 16,569.93/121.67
  6. Step 6: Final answer
    x = 136.19

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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.