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Finding the Fourth Proportional to 54.09, 80.84 and 52.74

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Solution

The fourth proportional to 54.09, 80.84 and 52.74 is: 78.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.09 : 80.84 = 52.74 : x
  2. Step 2: Convert to fraction form
    54.09/80.84 = 52.74/x
  3. Step 3: Cross multiply
    54.09x = 80.84 × 52.74
  4. Step 4: Simplify right side
    54.09x = 4,263.63
  5. Step 5: Solve for x
    x = 4,263.63/54.09
  6. Step 6: Final answer
    x = 78.82

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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.