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Finding the Fourth Proportional to 141.24, 194.92 and 83

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Solution

The fourth proportional to 141.24, 194.92 and 83 is: 114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.24 : 194.92 = 83 : x
  2. Step 2: Convert to fraction form
    141.24/194.92 = 83/x
  3. Step 3: Cross multiply
    141.24x = 194.92 × 83
  4. Step 4: Simplify right side
    141.24x = 16,178.36
  5. Step 5: Solve for x
    x = 16,178.36/141.24
  6. Step 6: Final answer
    x = 114.55

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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.