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Finding the Fourth Proportional to 27.72, 38.26 and 22.30

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Solution

The fourth proportional to 27.72, 38.26 and 22.30 is: 30.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.72 : 38.26 = 22.30 : x
  2. Step 2: Convert to fraction form
    27.72/38.26 = 22.30/x
  3. Step 3: Cross multiply
    27.72x = 38.26 × 22.30
  4. Step 4: Simplify right side
    27.72x = 853.20
  5. Step 5: Solve for x
    x = 853.20/27.72
  6. Step 6: Final answer
    x = 30.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.