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Finding the Fourth Proportional to 95.46, 131.07 and 81.48

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Solution

The fourth proportional to 95.46, 131.07 and 81.48 is: 111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.46 : 131.07 = 81.48 : x
  2. Step 2: Convert to fraction form
    95.46/131.07 = 81.48/x
  3. Step 3: Cross multiply
    95.46x = 131.07 × 81.48
  4. Step 4: Simplify right side
    95.46x = 10,679.58
  5. Step 5: Solve for x
    x = 10,679.58/95.46
  6. Step 6: Final answer
    x = 111.87

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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.