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Finding the Fourth Proportional to 141.18, 194.86 and 82.96

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Solution

The fourth proportional to 141.18, 194.86 and 82.96 is: 114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.18 : 194.86 = 82.96 : x
  2. Step 2: Convert to fraction form
    141.18/194.86 = 82.96/x
  3. Step 3: Cross multiply
    141.18x = 194.86 × 82.96
  4. Step 4: Simplify right side
    141.18x = 16,165.59
  5. Step 5: Solve for x
    x = 16,165.59/141.18
  6. Step 6: Final answer
    x = 114.50

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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.