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Finding the Fourth Proportional to 27.63, 41.39 and 25.73

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Solution

The fourth proportional to 27.63, 41.39 and 25.73 is: 38.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.63 : 41.39 = 25.73 : x
  2. Step 2: Convert to fraction form
    27.63/41.39 = 25.73/x
  3. Step 3: Cross multiply
    27.63x = 41.39 × 25.73
  4. Step 4: Simplify right side
    27.63x = 1,064.96
  5. Step 5: Solve for x
    x = 1,064.96/27.63
  6. Step 6: Final answer
    x = 38.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.