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Finding the Fourth Proportional to 96.59, 132.46 and 91.91

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Solution

The fourth proportional to 96.59, 132.46 and 91.91 is: 126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.59 : 132.46 = 91.91 : x
  2. Step 2: Convert to fraction form
    96.59/132.46 = 91.91/x
  3. Step 3: Cross multiply
    96.59x = 132.46 × 91.91
  4. Step 4: Simplify right side
    96.59x = 12,174.40
  5. Step 5: Solve for x
    x = 12,174.40/96.59
  6. Step 6: Final answer
    x = 126.04

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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.