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Finding the Fourth Proportional to 27.39, 37.78 and 20.82

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Solution

The fourth proportional to 27.39, 37.78 and 20.82 is: 28.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.39 : 37.78 = 20.82 : x
  2. Step 2: Convert to fraction form
    27.39/37.78 = 20.82/x
  3. Step 3: Cross multiply
    27.39x = 37.78 × 20.82
  4. Step 4: Simplify right side
    27.39x = 786.58
  5. Step 5: Solve for x
    x = 786.58/27.39
  6. Step 6: Final answer
    x = 28.72

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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.