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Finding the Fourth Proportional to 140, 209.92 and 91.84

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Solution

The fourth proportional to 140, 209.92 and 91.84 is: 137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140 : 209.92 = 91.84 : x
  2. Step 2: Convert to fraction form
    140/209.92 = 91.84/x
  3. Step 3: Cross multiply
    140x = 209.92 × 91.84
  4. Step 4: Simplify right side
    140x = 19,279.05
  5. Step 5: Solve for x
    x = 19,279.05/140
  6. Step 6: Final answer
    x = 137.71

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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.