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Finding the Fourth Proportional to 121.98, 167.89 and 104.43

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Solution

The fourth proportional to 121.98, 167.89 and 104.43 is: 143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.98 : 167.89 = 104.43 : x
  2. Step 2: Convert to fraction form
    121.98/167.89 = 104.43/x
  3. Step 3: Cross multiply
    121.98x = 167.89 × 104.43
  4. Step 4: Simplify right side
    121.98x = 17,532.23
  5. Step 5: Solve for x
    x = 17,532.23/121.98
  6. Step 6: Final answer
    x = 143.73

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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.