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Finding the Fourth Proportional to 29.44, 44.16 and 8.06

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Solution

The fourth proportional to 29.44, 44.16 and 8.06 is: 12.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.44 : 44.16 = 8.06 : x
  2. Step 2: Convert to fraction form
    29.44/44.16 = 8.06/x
  3. Step 3: Cross multiply
    29.44x = 44.16 × 8.06
  4. Step 4: Simplify right side
    29.44x = 356.04
  5. Step 5: Solve for x
    x = 356.04/29.44
  6. Step 6: Final answer
    x = 12.09

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Why These Related Problems?

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