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Finding the Fourth Proportional to 140.08, 209.84 and 96.56

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Solution

The fourth proportional to 140.08, 209.84 and 96.56 is: 144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.08 : 209.84 = 96.56 : x
  2. Step 2: Convert to fraction form
    140.08/209.84 = 96.56/x
  3. Step 3: Cross multiply
    140.08x = 209.84 × 96.56
  4. Step 4: Simplify right side
    140.08x = 20,262.15
  5. Step 5: Solve for x
    x = 20,262.15/140.08
  6. Step 6: Final answer
    x = 144.65

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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.