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Finding the Fourth Proportional to 141.07, 194.65 and 82.06

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Solution

The fourth proportional to 141.07, 194.65 and 82.06 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.07 : 194.65 = 82.06 : x
  2. Step 2: Convert to fraction form
    141.07/194.65 = 82.06/x
  3. Step 3: Cross multiply
    141.07x = 194.65 × 82.06
  4. Step 4: Simplify right side
    141.07x = 15,972.98
  5. Step 5: Solve for x
    x = 15,972.98/141.07
  6. Step 6: Final answer
    x = 113.23

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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.