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Finding the Fourth Proportional to 28.26, 38.76 and 27.54

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Solution

The fourth proportional to 28.26, 38.76 and 27.54 is: 37.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.26 : 38.76 = 27.54 : x
  2. Step 2: Convert to fraction form
    28.26/38.76 = 27.54/x
  3. Step 3: Cross multiply
    28.26x = 38.76 × 27.54
  4. Step 4: Simplify right side
    28.26x = 1,067.45
  5. Step 5: Solve for x
    x = 1,067.45/28.26
  6. Step 6: Final answer
    x = 37.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.