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Finding the Fourth Proportional to 81.97, 122.99 and 30.65

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Solution

The fourth proportional to 81.97, 122.99 and 30.65 is: 45.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.97 : 122.99 = 30.65 : x
  2. Step 2: Convert to fraction form
    81.97/122.99 = 30.65/x
  3. Step 3: Cross multiply
    81.97x = 122.99 × 30.65
  4. Step 4: Simplify right side
    81.97x = 3,768.88
  5. Step 5: Solve for x
    x = 3,768.88/81.97
  6. Step 6: Final answer
    x = 45.98

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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.