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Finding the Fourth Proportional to 27.78, 38.25 and 26.43

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Solution

The fourth proportional to 27.78, 38.25 and 26.43 is: 36.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.78 : 38.25 = 26.43 : x
  2. Step 2: Convert to fraction form
    27.78/38.25 = 26.43/x
  3. Step 3: Cross multiply
    27.78x = 38.25 × 26.43
  4. Step 4: Simplify right side
    27.78x = 1,010.95
  5. Step 5: Solve for x
    x = 1,010.95/27.78
  6. Step 6: Final answer
    x = 36.39

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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.