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Finding the Fourth Proportional to 27.78, 41.74 and 20.22

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Solution

The fourth proportional to 27.78, 41.74 and 20.22 is: 30.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.78 : 41.74 = 20.22 : x
  2. Step 2: Convert to fraction form
    27.78/41.74 = 20.22/x
  3. Step 3: Cross multiply
    27.78x = 41.74 × 20.22
  4. Step 4: Simplify right side
    27.78x = 843.78
  5. Step 5: Solve for x
    x = 843.78/27.78
  6. Step 6: Final answer
    x = 30.38

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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.