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Finding the Fourth Proportional to 140.78, 194.23 and 97.10

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Solution

The fourth proportional to 140.78, 194.23 and 97.10 is: 133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.78 : 194.23 = 97.10 : x
  2. Step 2: Convert to fraction form
    140.78/194.23 = 97.10/x
  3. Step 3: Cross multiply
    140.78x = 194.23 × 97.10
  4. Step 4: Simplify right side
    140.78x = 18,859.73
  5. Step 5: Solve for x
    x = 18,859.73/140.78
  6. Step 6: Final answer
    x = 133.97

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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.