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Finding the Fourth Proportional to 140.08, 209.92 and 97.28

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Solution

The fourth proportional to 140.08, 209.92 and 97.28 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.08 : 209.92 = 97.28 : x
  2. Step 2: Convert to fraction form
    140.08/209.92 = 97.28/x
  3. Step 3: Cross multiply
    140.08x = 209.92 × 97.28
  4. Step 4: Simplify right side
    140.08x = 20,421.02
  5. Step 5: Solve for x
    x = 20,421.02/140.08
  6. Step 6: Final answer
    x = 145.78

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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.