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Finding the Fourth Proportional to 54.15, 80.76 and 52.80

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Solution

The fourth proportional to 54.15, 80.76 and 52.80 is: 78.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.15 : 80.76 = 52.80 : x
  2. Step 2: Convert to fraction form
    54.15/80.76 = 52.80/x
  3. Step 3: Cross multiply
    54.15x = 80.76 × 52.80
  4. Step 4: Simplify right side
    54.15x = 4,264.13
  5. Step 5: Solve for x
    x = 4,264.13/54.15
  6. Step 6: Final answer
    x = 78.75

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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.