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Finding the Fourth Proportional to 121.91, 168.23 and 66.65

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Solution

The fourth proportional to 121.91, 168.23 and 66.65 is: 91.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.91 : 168.23 = 66.65 : x
  2. Step 2: Convert to fraction form
    121.91/168.23 = 66.65/x
  3. Step 3: Cross multiply
    121.91x = 168.23 × 66.65
  4. Step 4: Simplify right side
    121.91x = 11,211.69
  5. Step 5: Solve for x
    x = 11,211.69/121.91
  6. Step 6: Final answer
    x = 91.97

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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.