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Finding the Fourth Proportional to 41.45, 62.09 and 27.71

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Solution

The fourth proportional to 41.45, 62.09 and 27.71 is: 41.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.45 : 62.09 = 27.71 : x
  2. Step 2: Convert to fraction form
    41.45/62.09 = 27.71/x
  3. Step 3: Cross multiply
    41.45x = 62.09 × 27.71
  4. Step 4: Simplify right side
    41.45x = 1,720.38
  5. Step 5: Solve for x
    x = 1,720.38/41.45
  6. Step 6: Final answer
    x = 41.50

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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.