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Finding the Fourth Proportional to 54.07, 81.11 and 19.84

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Solution

The fourth proportional to 54.07, 81.11 and 19.84 is: 29.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.07 : 81.11 = 19.84 : x
  2. Step 2: Convert to fraction form
    54.07/81.11 = 19.84/x
  3. Step 3: Cross multiply
    54.07x = 81.11 × 19.84
  4. Step 4: Simplify right side
    54.07x = 1,608.72
  5. Step 5: Solve for x
    x = 1,608.72/54.07
  6. Step 6: Final answer
    x = 29.75

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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.