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Finding the Fourth Proportional to 28.34, 38.88 and 27.74

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Solution

The fourth proportional to 28.34, 38.88 and 27.74 is: 38.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 38.88 = 27.74 : x
  2. Step 2: Convert to fraction form
    28.34/38.88 = 27.74/x
  3. Step 3: Cross multiply
    28.34x = 38.88 × 27.74
  4. Step 4: Simplify right side
    28.34x = 1,078.53
  5. Step 5: Solve for x
    x = 1,078.53/28.34
  6. Step 6: Final answer
    x = 38.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.