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Finding the Fourth Proportional to 54.19, 80.75 and 52.70

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Solution

The fourth proportional to 54.19, 80.75 and 52.70 is: 78.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.19 : 80.75 = 52.70 : x
  2. Step 2: Convert to fraction form
    54.19/80.75 = 52.70/x
  3. Step 3: Cross multiply
    54.19x = 80.75 × 52.70
  4. Step 4: Simplify right side
    54.19x = 4,255.59
  5. Step 5: Solve for x
    x = 4,255.59/54.19
  6. Step 6: Final answer
    x = 78.54

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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.