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Finding the Fourth Proportional to 27.78, 38.36 and 25.96

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Solution

The fourth proportional to 27.78, 38.36 and 25.96 is: 35.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.78 : 38.36 = 25.96 : x
  2. Step 2: Convert to fraction form
    27.78/38.36 = 25.96/x
  3. Step 3: Cross multiply
    27.78x = 38.36 × 25.96
  4. Step 4: Simplify right side
    27.78x = 995.83
  5. Step 5: Solve for x
    x = 995.83/27.78
  6. Step 6: Final answer
    x = 35.85

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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.