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Finding the Fourth Proportional to 34.82, 48.06 and 20.27

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Solution

The fourth proportional to 34.82, 48.06 and 20.27 is: 27.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.82 : 48.06 = 20.27 : x
  2. Step 2: Convert to fraction form
    34.82/48.06 = 20.27/x
  3. Step 3: Cross multiply
    34.82x = 48.06 × 20.27
  4. Step 4: Simplify right side
    34.82x = 974.18
  5. Step 5: Solve for x
    x = 974.18/34.82
  6. Step 6: Final answer
    x = 27.98

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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.