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Finding the Fourth Proportional to 82.41, 122.84 and 80.13

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Solution

The fourth proportional to 82.41, 122.84 and 80.13 is: 119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.41 : 122.84 = 80.13 : x
  2. Step 2: Convert to fraction form
    82.41/122.84 = 80.13/x
  3. Step 3: Cross multiply
    82.41x = 122.84 × 80.13
  4. Step 4: Simplify right side
    82.41x = 9,842.77
  5. Step 5: Solve for x
    x = 9,842.77/82.41
  6. Step 6: Final answer
    x = 119.44

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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.