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Finding the Fourth Proportional to 140.64, 194.14 and 82.44

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Solution

The fourth proportional to 140.64, 194.14 and 82.44 is: 113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.64 : 194.14 = 82.44 : x
  2. Step 2: Convert to fraction form
    140.64/194.14 = 82.44/x
  3. Step 3: Cross multiply
    140.64x = 194.14 × 82.44
  4. Step 4: Simplify right side
    140.64x = 16,004.90
  5. Step 5: Solve for x
    x = 16,004.90/140.64
  6. Step 6: Final answer
    x = 113.80

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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.