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Finding the Fourth Proportional to 81.68, 122.36 and 47.39

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Solution

The fourth proportional to 81.68, 122.36 and 47.39 is: 70.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.68 : 122.36 = 47.39 : x
  2. Step 2: Convert to fraction form
    81.68/122.36 = 47.39/x
  3. Step 3: Cross multiply
    81.68x = 122.36 × 47.39
  4. Step 4: Simplify right side
    81.68x = 5,797.79
  5. Step 5: Solve for x
    x = 5,797.79/81.68
  6. Step 6: Final answer
    x = 70.99

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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.