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Finding the Fourth Proportional to 47.54, 71.31 and 27.38

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Solution

The fourth proportional to 47.54, 71.31 and 27.38 is: 41.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.54 : 71.31 = 27.38 : x
  2. Step 2: Convert to fraction form
    47.54/71.31 = 27.38/x
  3. Step 3: Cross multiply
    47.54x = 71.31 × 27.38
  4. Step 4: Simplify right side
    47.54x = 1,952.02
  5. Step 5: Solve for x
    x = 1,952.02/47.54
  6. Step 6: Final answer
    x = 41.06

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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.