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Finding the Fourth Proportional to 80.54, 120.74 and 54.88

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Solution

The fourth proportional to 80.54, 120.74 and 54.88 is: 82.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.54 : 120.74 = 54.88 : x
  2. Step 2: Convert to fraction form
    80.54/120.74 = 54.88/x
  3. Step 3: Cross multiply
    80.54x = 120.74 × 54.88
  4. Step 4: Simplify right side
    80.54x = 6,626.21
  5. Step 5: Solve for x
    x = 6,626.21/80.54
  6. Step 6: Final answer
    x = 82.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.