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Finding the Fourth Proportional to 96.46, 144.49 and 82.08

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Solution

The fourth proportional to 96.46, 144.49 and 82.08 is: 122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.46 : 144.49 = 82.08 : x
  2. Step 2: Convert to fraction form
    96.46/144.49 = 82.08/x
  3. Step 3: Cross multiply
    96.46x = 144.49 × 82.08
  4. Step 4: Simplify right side
    96.46x = 11,859.74
  5. Step 5: Solve for x
    x = 11,859.74/96.46
  6. Step 6: Final answer
    x = 122.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.