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Finding the Fourth Proportional to 27.72, 38.20 and 26.30

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Solution

The fourth proportional to 27.72, 38.20 and 26.30 is: 36.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.72 : 38.20 = 26.30 : x
  2. Step 2: Convert to fraction form
    27.72/38.20 = 26.30/x
  3. Step 3: Cross multiply
    27.72x = 38.20 × 26.30
  4. Step 4: Simplify right side
    27.72x = 1,004.66
  5. Step 5: Solve for x
    x = 1,004.66/27.72
  6. Step 6: Final answer
    x = 36.24

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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.