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Finding the Fourth Proportional to 81.56, 122.33 and 47.27

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Solution

The fourth proportional to 81.56, 122.33 and 47.27 is: 70.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.56 : 122.33 = 47.27 : x
  2. Step 2: Convert to fraction form
    81.56/122.33 = 47.27/x
  3. Step 3: Cross multiply
    81.56x = 122.33 × 47.27
  4. Step 4: Simplify right side
    81.56x = 5,782.96
  5. Step 5: Solve for x
    x = 5,782.96/81.56
  6. Step 6: Final answer
    x = 70.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.