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Finding the Fourth Proportional to 96.12, 132.44 and 77.69

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Solution

The fourth proportional to 96.12, 132.44 and 77.69 is: 107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.12 : 132.44 = 77.69 : x
  2. Step 2: Convert to fraction form
    96.12/132.44 = 77.69/x
  3. Step 3: Cross multiply
    96.12x = 132.44 × 77.69
  4. Step 4: Simplify right side
    96.12x = 10,289.21
  5. Step 5: Solve for x
    x = 10,289.21/96.12
  6. Step 6: Final answer
    x = 107.05

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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.