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Finding the Fourth Proportional to 121.10, 167.19 and 81.76

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Solution

The fourth proportional to 121.10, 167.19 and 81.76 is: 112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.10 : 167.19 = 81.76 : x
  2. Step 2: Convert to fraction form
    121.10/167.19 = 81.76/x
  3. Step 3: Cross multiply
    121.10x = 167.19 × 81.76
  4. Step 4: Simplify right side
    121.10x = 13,669.01
  5. Step 5: Solve for x
    x = 13,669.01/121.10
  6. Step 6: Final answer
    x = 112.88

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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.