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Finding the Fourth Proportional to 141.12, 194.70 and 82.11

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Solution

The fourth proportional to 141.12, 194.70 and 82.11 is: 113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.12 : 194.70 = 82.11 : x
  2. Step 2: Convert to fraction form
    141.12/194.70 = 82.11/x
  3. Step 3: Cross multiply
    141.12x = 194.70 × 82.11
  4. Step 4: Simplify right side
    141.12x = 15,986.82
  5. Step 5: Solve for x
    x = 15,986.82/141.12
  6. Step 6: Final answer
    x = 113.29

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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.