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Finding the Fourth Proportional to 82.24, 113.54 and 76.80

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Solution

The fourth proportional to 82.24, 113.54 and 76.80 is: 106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.24 : 113.54 = 76.80 : x
  2. Step 2: Convert to fraction form
    82.24/113.54 = 76.80/x
  3. Step 3: Cross multiply
    82.24x = 113.54 × 76.80
  4. Step 4: Simplify right side
    82.24x = 8,719.87
  5. Step 5: Solve for x
    x = 8,719.87/82.24
  6. Step 6: Final answer
    x = 106.03

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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.