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Finding the Fourth Proportional to 55.10, 82.80 and 54.56

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Solution

The fourth proportional to 55.10, 82.80 and 54.56 is: 81.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.10 : 82.80 = 54.56 : x
  2. Step 2: Convert to fraction form
    55.10/82.80 = 54.56/x
  3. Step 3: Cross multiply
    55.10x = 82.80 × 54.56
  4. Step 4: Simplify right side
    55.10x = 4,517.57
  5. Step 5: Solve for x
    x = 4,517.57/55.10
  6. Step 6: Final answer
    x = 81.99

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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.