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Finding the Fourth Proportional to 141.01, 194.56 and 82

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Solution

The fourth proportional to 141.01, 194.56 and 82 is: 113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.01 : 194.56 = 82 : x
  2. Step 2: Convert to fraction form
    141.01/194.56 = 82/x
  3. Step 3: Cross multiply
    141.01x = 194.56 × 82
  4. Step 4: Simplify right side
    141.01x = 15,953.92
  5. Step 5: Solve for x
    x = 15,953.92/141.01
  6. Step 6: Final answer
    x = 113.14

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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.