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Finding the Fourth Proportional to 49.12, 67.78 and 27.28

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Solution

The fourth proportional to 49.12, 67.78 and 27.28 is: 37.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.12 : 67.78 = 27.28 : x
  2. Step 2: Convert to fraction form
    49.12/67.78 = 27.28/x
  3. Step 3: Cross multiply
    49.12x = 67.78 × 27.28
  4. Step 4: Simplify right side
    49.12x = 1,848.90
  5. Step 5: Solve for x
    x = 1,848.90/49.12
  6. Step 6: Final answer
    x = 37.64

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