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Finding the Fourth Proportional to 54.15, 80.54 and 54.02

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Solution

The fourth proportional to 54.15, 80.54 and 54.02 is: 80.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.15 : 80.54 = 54.02 : x
  2. Step 2: Convert to fraction form
    54.15/80.54 = 54.02/x
  3. Step 3: Cross multiply
    54.15x = 80.54 × 54.02
  4. Step 4: Simplify right side
    54.15x = 4,350.10
  5. Step 5: Solve for x
    x = 4,350.10/54.15
  6. Step 6: Final answer
    x = 80.33

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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.