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Finding the Fourth Proportional to 140.97, 211.28 and 97.57

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Solution

The fourth proportional to 140.97, 211.28 and 97.57 is: 146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.97 : 211.28 = 97.57 : x
  2. Step 2: Convert to fraction form
    140.97/211.28 = 97.57/x
  3. Step 3: Cross multiply
    140.97x = 211.28 × 97.57
  4. Step 4: Simplify right side
    140.97x = 20,614.37
  5. Step 5: Solve for x
    x = 20,614.37/140.97
  6. Step 6: Final answer
    x = 146.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.