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Finding the Fourth Proportional to 29.85, 44.78 and 20.71

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Solution

The fourth proportional to 29.85, 44.78 and 20.71 is: 31.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.85 : 44.78 = 20.71 : x
  2. Step 2: Convert to fraction form
    29.85/44.78 = 20.71/x
  3. Step 3: Cross multiply
    29.85x = 44.78 × 20.71
  4. Step 4: Simplify right side
    29.85x = 927.33
  5. Step 5: Solve for x
    x = 927.33/29.85
  6. Step 6: Final answer
    x = 31.06

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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.