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Finding the Fourth Proportional to 54.36, 80.85 and 52.02

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Solution

The fourth proportional to 54.36, 80.85 and 52.02 is: 77.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.36 : 80.85 = 52.02 : x
  2. Step 2: Convert to fraction form
    54.36/80.85 = 52.02/x
  3. Step 3: Cross multiply
    54.36x = 80.85 × 52.02
  4. Step 4: Simplify right side
    54.36x = 4,205.82
  5. Step 5: Solve for x
    x = 4,205.82/54.36
  6. Step 6: Final answer
    x = 77.37

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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.