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Finding the Fourth Proportional to 95.44, 131.68 and 83.14

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Solution

The fourth proportional to 95.44, 131.68 and 83.14 is: 114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.44 : 131.68 = 83.14 : x
  2. Step 2: Convert to fraction form
    95.44/131.68 = 83.14/x
  3. Step 3: Cross multiply
    95.44x = 131.68 × 83.14
  4. Step 4: Simplify right side
    95.44x = 10,947.88
  5. Step 5: Solve for x
    x = 10,947.88/95.44
  6. Step 6: Final answer
    x = 114.71

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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.