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Finding the Fourth Proportional to 141.17, 194.78 and 82.16

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Solution

The fourth proportional to 141.17, 194.78 and 82.16 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.17 : 194.78 = 82.16 : x
  2. Step 2: Convert to fraction form
    141.17/194.78 = 82.16/x
  3. Step 3: Cross multiply
    141.17x = 194.78 × 82.16
  4. Step 4: Simplify right side
    141.17x = 16,002.96
  5. Step 5: Solve for x
    x = 16,002.96/141.17
  6. Step 6: Final answer
    x = 113.36

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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.