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Finding the Fourth Proportional to 96.30, 131.72 and 94.86

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Solution

The fourth proportional to 96.30, 131.72 and 94.86 is: 129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.30 : 131.72 = 94.86 : x
  2. Step 2: Convert to fraction form
    96.30/131.72 = 94.86/x
  3. Step 3: Cross multiply
    96.30x = 131.72 × 94.86
  4. Step 4: Simplify right side
    96.30x = 12,494.48
  5. Step 5: Solve for x
    x = 12,494.48/96.30
  6. Step 6: Final answer
    x = 129.75

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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.