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Finding the Fourth Proportional to 29.64, 44.46 and 8.27

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Solution

The fourth proportional to 29.64, 44.46 and 8.27 is: 12.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 44.46 = 8.27 : x
  2. Step 2: Convert to fraction form
    29.64/44.46 = 8.27/x
  3. Step 3: Cross multiply
    29.64x = 44.46 × 8.27
  4. Step 4: Simplify right side
    29.64x = 367.68
  5. Step 5: Solve for x
    x = 367.68/29.64
  6. Step 6: Final answer
    x = 12.41

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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.