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Finding the Fourth Proportional to 96.10, 133.22 and 91.15

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Solution

The fourth proportional to 96.10, 133.22 and 91.15 is: 126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.10 : 133.22 = 91.15 : x
  2. Step 2: Convert to fraction form
    96.10/133.22 = 91.15/x
  3. Step 3: Cross multiply
    96.10x = 133.22 × 91.15
  4. Step 4: Simplify right side
    96.10x = 12,143.00
  5. Step 5: Solve for x
    x = 12,143.00/96.10
  6. Step 6: Final answer
    x = 126.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.