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Finding the Fourth Proportional to 82.58, 113.92 and 76.72

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Solution

The fourth proportional to 82.58, 113.92 and 76.72 is: 105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.58 : 113.92 = 76.72 : x
  2. Step 2: Convert to fraction form
    82.58/113.92 = 76.72/x
  3. Step 3: Cross multiply
    82.58x = 113.92 × 76.72
  4. Step 4: Simplify right side
    82.58x = 8,739.97
  5. Step 5: Solve for x
    x = 8,739.97/82.58
  6. Step 6: Final answer
    x = 105.83

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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.