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Finding the Fourth Proportional to 27.78, 41.37 and 27.15

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Solution

The fourth proportional to 27.78, 41.37 and 27.15 is: 40.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.78 : 41.37 = 27.15 : x
  2. Step 2: Convert to fraction form
    27.78/41.37 = 27.15/x
  3. Step 3: Cross multiply
    27.78x = 41.37 × 27.15
  4. Step 4: Simplify right side
    27.78x = 1,123.20
  5. Step 5: Solve for x
    x = 1,123.20/27.78
  6. Step 6: Final answer
    x = 40.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.