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Finding the Fourth Proportional to 82.20, 113.36 and 80.99

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Solution

The fourth proportional to 82.20, 113.36 and 80.99 is: 111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.20 : 113.36 = 80.99 : x
  2. Step 2: Convert to fraction form
    82.20/113.36 = 80.99/x
  3. Step 3: Cross multiply
    82.20x = 113.36 × 80.99
  4. Step 4: Simplify right side
    82.20x = 9,181.03
  5. Step 5: Solve for x
    x = 9,181.03/82.20
  6. Step 6: Final answer
    x = 111.69

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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.