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Finding the Fourth Proportional to 82.25, 121.92 and 80.96

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Solution

The fourth proportional to 82.25, 121.92 and 80.96 is: 120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 121.92 = 80.96 : x
  2. Step 2: Convert to fraction form
    82.25/121.92 = 80.96/x
  3. Step 3: Cross multiply
    82.25x = 121.92 × 80.96
  4. Step 4: Simplify right side
    82.25x = 9,870.49
  5. Step 5: Solve for x
    x = 9,870.49/82.25
  6. Step 6: Final answer
    x = 120.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.