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Finding the Fourth Proportional to 96.10, 133.05 and 91.30

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Solution

The fourth proportional to 96.10, 133.05 and 91.30 is: 126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.10 : 133.05 = 91.30 : x
  2. Step 2: Convert to fraction form
    96.10/133.05 = 91.30/x
  3. Step 3: Cross multiply
    96.10x = 133.05 × 91.30
  4. Step 4: Simplify right side
    96.10x = 12,147.47
  5. Step 5: Solve for x
    x = 12,147.47/96.10
  6. Step 6: Final answer
    x = 126.40

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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.