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Finding the Fourth Proportional to 252.21, 378.30 and 81.21

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Solution

The fourth proportional to 252.21, 378.30 and 81.21 is: 121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.21 : 378.30 = 81.21 : x
  2. Step 2: Convert to fraction form
    252.21/378.30 = 81.21/x
  3. Step 3: Cross multiply
    252.21x = 378.30 × 81.21
  4. Step 4: Simplify right side
    252.21x = 30,721.74
  5. Step 5: Solve for x
    x = 30,721.74/252.21
  6. Step 6: Final answer
    x = 121.81

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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.