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Finding the Fourth Proportional to 140.57, 194.01 and 82.40

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Solution

The fourth proportional to 140.57, 194.01 and 82.40 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.57 : 194.01 = 82.40 : x
  2. Step 2: Convert to fraction form
    140.57/194.01 = 82.40/x
  3. Step 3: Cross multiply
    140.57x = 194.01 × 82.40
  4. Step 4: Simplify right side
    140.57x = 15,986.42
  5. Step 5: Solve for x
    x = 15,986.42/140.57
  6. Step 6: Final answer
    x = 113.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.