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Finding the Fourth Proportional to 27.96, 42 and 26.56

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Solution

The fourth proportional to 27.96, 42 and 26.56 is: 39.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.96 : 42 = 26.56 : x
  2. Step 2: Convert to fraction form
    27.96/42 = 26.56/x
  3. Step 3: Cross multiply
    27.96x = 42 × 26.56
  4. Step 4: Simplify right side
    27.96x = 1,115.52
  5. Step 5: Solve for x
    x = 1,115.52/27.96
  6. Step 6: Final answer
    x = 39.90

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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.