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Finding the Fourth Proportional to 140.20, 193.49 and 84.97

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Solution

The fourth proportional to 140.20, 193.49 and 84.97 is: 117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.20 : 193.49 = 84.97 : x
  2. Step 2: Convert to fraction form
    140.20/193.49 = 84.97/x
  3. Step 3: Cross multiply
    140.20x = 193.49 × 84.97
  4. Step 4: Simplify right side
    140.20x = 16,440.85
  5. Step 5: Solve for x
    x = 16,440.85/140.20
  6. Step 6: Final answer
    x = 117.27

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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.