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Finding the Fourth Proportional to 27.46, 41.12 and 24.56

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Solution

The fourth proportional to 27.46, 41.12 and 24.56 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.46 : 41.12 = 24.56 : x
  2. Step 2: Convert to fraction form
    27.46/41.12 = 24.56/x
  3. Step 3: Cross multiply
    27.46x = 41.12 × 24.56
  4. Step 4: Simplify right side
    27.46x = 1,009.92
  5. Step 5: Solve for x
    x = 1,009.92/27.46
  6. Step 6: Final answer
    x = 36.78

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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.