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Finding the Fourth Proportional to 41.27, 56.99 and 27.48

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Solution

The fourth proportional to 41.27, 56.99 and 27.48 is: 37.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.27 : 56.99 = 27.48 : x
  2. Step 2: Convert to fraction form
    41.27/56.99 = 27.48/x
  3. Step 3: Cross multiply
    41.27x = 56.99 × 27.48
  4. Step 4: Simplify right side
    41.27x = 1,566.15
  5. Step 5: Solve for x
    x = 1,566.15/41.27
  6. Step 6: Final answer
    x = 37.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.