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Finding the Fourth Proportional to 28.86, 39.78 and 27.24

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Solution

The fourth proportional to 28.86, 39.78 and 27.24 is: 37.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.86 : 39.78 = 27.24 : x
  2. Step 2: Convert to fraction form
    28.86/39.78 = 27.24/x
  3. Step 3: Cross multiply
    28.86x = 39.78 × 27.24
  4. Step 4: Simplify right side
    28.86x = 1,083.61
  5. Step 5: Solve for x
    x = 1,083.61/28.86
  6. Step 6: Final answer
    x = 37.55

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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.