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Finding the Fourth Proportional to 96.83, 144.55 and 82.97

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Solution

The fourth proportional to 96.83, 144.55 and 82.97 is: 123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.83 : 144.55 = 82.97 : x
  2. Step 2: Convert to fraction form
    96.83/144.55 = 82.97/x
  3. Step 3: Cross multiply
    96.83x = 144.55 × 82.97
  4. Step 4: Simplify right side
    96.83x = 11,992.89
  5. Step 5: Solve for x
    x = 11,992.89/96.83
  6. Step 6: Final answer
    x = 123.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.