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Finding the Fourth Proportional to 29.19, 43.83 and 22.78

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Solution

The fourth proportional to 29.19, 43.83 and 22.78 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.19 : 43.83 = 22.78 : x
  2. Step 2: Convert to fraction form
    29.19/43.83 = 22.78/x
  3. Step 3: Cross multiply
    29.19x = 43.83 × 22.78
  4. Step 4: Simplify right side
    29.19x = 998.45
  5. Step 5: Solve for x
    x = 998.45/29.19
  6. Step 6: Final answer
    x = 34.21

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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.