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Finding the Fourth Proportional to 141.09, 194.67 and 82.06

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Solution

The fourth proportional to 141.09, 194.67 and 82.06 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.09 : 194.67 = 82.06 : x
  2. Step 2: Convert to fraction form
    141.09/194.67 = 82.06/x
  3. Step 3: Cross multiply
    141.09x = 194.67 × 82.06
  4. Step 4: Simplify right side
    141.09x = 15,974.13
  5. Step 5: Solve for x
    x = 15,974.13/141.09
  6. Step 6: Final answer
    x = 113.22

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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.