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Finding the Fourth Proportional to 54.83, 82.19 and 22.74

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Solution

The fourth proportional to 54.83, 82.19 and 22.74 is: 34.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.83 : 82.19 = 22.74 : x
  2. Step 2: Convert to fraction form
    54.83/82.19 = 22.74/x
  3. Step 3: Cross multiply
    54.83x = 82.19 × 22.74
  4. Step 4: Simplify right side
    54.83x = 1,868.89
  5. Step 5: Solve for x
    x = 1,868.89/54.83
  6. Step 6: Final answer
    x = 34.09

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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.