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Finding the Fourth Proportional to 31.26, 47.03 and 27.54

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Solution

The fourth proportional to 31.26, 47.03 and 27.54 is: 41.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.26 : 47.03 = 27.54 : x
  2. Step 2: Convert to fraction form
    31.26/47.03 = 27.54/x
  3. Step 3: Cross multiply
    31.26x = 47.03 × 27.54
  4. Step 4: Simplify right side
    31.26x = 1,295.21
  5. Step 5: Solve for x
    x = 1,295.21/31.26
  6. Step 6: Final answer
    x = 41.43

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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.