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Finding the Fourth Proportional to 96.21, 132.84 and 76.86

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Solution

The fourth proportional to 96.21, 132.84 and 76.86 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.21 : 132.84 = 76.86 : x
  2. Step 2: Convert to fraction form
    96.21/132.84 = 76.86/x
  3. Step 3: Cross multiply
    96.21x = 132.84 × 76.86
  4. Step 4: Simplify right side
    96.21x = 10,210.08
  5. Step 5: Solve for x
    x = 10,210.08/96.21
  6. Step 6: Final answer
    x = 106.12

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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.