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Finding the Fourth Proportional to 95.96, 131.76 and 81.98

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Solution

The fourth proportional to 95.96, 131.76 and 81.98 is: 112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.96 : 131.76 = 81.98 : x
  2. Step 2: Convert to fraction form
    95.96/131.76 = 81.98/x
  3. Step 3: Cross multiply
    95.96x = 131.76 × 81.98
  4. Step 4: Simplify right side
    95.96x = 10,801.68
  5. Step 5: Solve for x
    x = 10,801.68/95.96
  6. Step 6: Final answer
    x = 112.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.