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Finding the Fourth Proportional to 96.01, 132.51 and 82.33

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Solution

The fourth proportional to 96.01, 132.51 and 82.33 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.01 : 132.51 = 82.33 : x
  2. Step 2: Convert to fraction form
    96.01/132.51 = 82.33/x
  3. Step 3: Cross multiply
    96.01x = 132.51 × 82.33
  4. Step 4: Simplify right side
    96.01x = 10,909.55
  5. Step 5: Solve for x
    x = 10,909.55/96.01
  6. Step 6: Final answer
    x = 113.63

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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.