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Finding the Fourth Proportional to 55.20, 82.16 and 54.12

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Solution

The fourth proportional to 55.20, 82.16 and 54.12 is: 80.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.20 : 82.16 = 54.12 : x
  2. Step 2: Convert to fraction form
    55.20/82.16 = 54.12/x
  3. Step 3: Cross multiply
    55.20x = 82.16 × 54.12
  4. Step 4: Simplify right side
    55.20x = 4,446.23
  5. Step 5: Solve for x
    x = 4,446.23/55.20
  6. Step 6: Final answer
    x = 80.55

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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.