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Finding the Fourth Proportional to 141.24, 194.86 and 85.96

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Solution

The fourth proportional to 141.24, 194.86 and 85.96 is: 118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.24 : 194.86 = 85.96 : x
  2. Step 2: Convert to fraction form
    141.24/194.86 = 85.96/x
  3. Step 3: Cross multiply
    141.24x = 194.86 × 85.96
  4. Step 4: Simplify right side
    141.24x = 16,750.17
  5. Step 5: Solve for x
    x = 16,750.17/141.24
  6. Step 6: Final answer
    x = 118.59

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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.