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Finding the Fourth Proportional to 29.50, 44.22 and 28.78

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Solution

The fourth proportional to 29.50, 44.22 and 28.78 is: 43.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.50 : 44.22 = 28.78 : x
  2. Step 2: Convert to fraction form
    29.50/44.22 = 28.78/x
  3. Step 3: Cross multiply
    29.50x = 44.22 × 28.78
  4. Step 4: Simplify right side
    29.50x = 1,272.65
  5. Step 5: Solve for x
    x = 1,272.65/29.50
  6. Step 6: Final answer
    x = 43.14

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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.