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Finding the Fourth Proportional to 96.49, 132.37 and 91.77

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Solution

The fourth proportional to 96.49, 132.37 and 91.77 is: 125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.49 : 132.37 = 91.77 : x
  2. Step 2: Convert to fraction form
    96.49/132.37 = 91.77/x
  3. Step 3: Cross multiply
    96.49x = 132.37 × 91.77
  4. Step 4: Simplify right side
    96.49x = 12,146.87
  5. Step 5: Solve for x
    x = 12,146.87/96.49
  6. Step 6: Final answer
    x = 125.89

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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.