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Finding the Fourth Proportional to 121.62, 167.84 and 101.91

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Solution

The fourth proportional to 121.62, 167.84 and 101.91 is: 140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.62 : 167.84 = 101.91 : x
  2. Step 2: Convert to fraction form
    121.62/167.84 = 101.91/x
  3. Step 3: Cross multiply
    121.62x = 167.84 × 101.91
  4. Step 4: Simplify right side
    121.62x = 17,104.06
  5. Step 5: Solve for x
    x = 17,104.06/121.62
  6. Step 6: Final answer
    x = 140.64

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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.