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Finding the Fourth Proportional to 121.86, 167.98 and 80.40

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Solution

The fourth proportional to 121.86, 167.98 and 80.40 is: 110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.86 : 167.98 = 80.40 : x
  2. Step 2: Convert to fraction form
    121.86/167.98 = 80.40/x
  3. Step 3: Cross multiply
    121.86x = 167.98 × 80.40
  4. Step 4: Simplify right side
    121.86x = 13,505.59
  5. Step 5: Solve for x
    x = 13,505.59/121.86
  6. Step 6: Final answer
    x = 110.83

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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.