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Finding the Fourth Proportional to 54.91, 82.02 and 54.08

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Solution

The fourth proportional to 54.91, 82.02 and 54.08 is: 80.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.91 : 82.02 = 54.08 : x
  2. Step 2: Convert to fraction form
    54.91/82.02 = 54.08/x
  3. Step 3: Cross multiply
    54.91x = 82.02 × 54.08
  4. Step 4: Simplify right side
    54.91x = 4,435.64
  5. Step 5: Solve for x
    x = 4,435.64/54.91
  6. Step 6: Final answer
    x = 80.78

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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.