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Finding the Fourth Proportional to 82.18, 112.68 and 80.72

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Solution

The fourth proportional to 82.18, 112.68 and 80.72 is: 110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.18 : 112.68 = 80.72 : x
  2. Step 2: Convert to fraction form
    82.18/112.68 = 80.72/x
  3. Step 3: Cross multiply
    82.18x = 112.68 × 80.72
  4. Step 4: Simplify right side
    82.18x = 9,095.33
  5. Step 5: Solve for x
    x = 9,095.33/82.18
  6. Step 6: Final answer
    x = 110.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.