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Finding the Fourth Proportional to 54.09, 81.07 and 52.75

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Solution

The fourth proportional to 54.09, 81.07 and 52.75 is: 79.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.09 : 81.07 = 52.75 : x
  2. Step 2: Convert to fraction form
    54.09/81.07 = 52.75/x
  3. Step 3: Cross multiply
    54.09x = 81.07 × 52.75
  4. Step 4: Simplify right side
    54.09x = 4,276.18
  5. Step 5: Solve for x
    x = 4,276.18/54.09
  6. Step 6: Final answer
    x = 79.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.