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Finding the Fourth Proportional to 54.09, 81 and 51.12

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Solution

The fourth proportional to 54.09, 81 and 51.12 is: 76.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.09 : 81 = 51.12 : x
  2. Step 2: Convert to fraction form
    54.09/81 = 51.12/x
  3. Step 3: Cross multiply
    54.09x = 81 × 51.12
  4. Step 4: Simplify right side
    54.09x = 4,140.72
  5. Step 5: Solve for x
    x = 4,140.72/54.09
  6. Step 6: Final answer
    x = 76.55

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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.