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Finding the Fourth Proportional to 47.31, 71.00 and 27

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Solution

The fourth proportional to 47.31, 71.00 and 27 is: 40.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.31 : 71.00 = 27 : x
  2. Step 2: Convert to fraction form
    47.31/71.00 = 27/x
  3. Step 3: Cross multiply
    47.31x = 71.00 × 27
  4. Step 4: Simplify right side
    47.31x = 1,916.87
  5. Step 5: Solve for x
    x = 1,916.87/47.31
  6. Step 6: Final answer
    x = 40.52

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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.