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Finding the Fourth Proportional to 101.72, 140.96 and 97.94

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Solution

The fourth proportional to 101.72, 140.96 and 97.94 is: 135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.72 : 140.96 = 97.94 : x
  2. Step 2: Convert to fraction form
    101.72/140.96 = 97.94/x
  3. Step 3: Cross multiply
    101.72x = 140.96 × 97.94
  4. Step 4: Simplify right side
    101.72x = 13,805.62
  5. Step 5: Solve for x
    x = 13,805.62/101.72
  6. Step 6: Final answer
    x = 135.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.