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Finding the Fourth Proportional to 29.45, 44.11 and 22.57

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Solution

The fourth proportional to 29.45, 44.11 and 22.57 is: 33.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.45 : 44.11 = 22.57 : x
  2. Step 2: Convert to fraction form
    29.45/44.11 = 22.57/x
  3. Step 3: Cross multiply
    29.45x = 44.11 × 22.57
  4. Step 4: Simplify right side
    29.45x = 995.56
  5. Step 5: Solve for x
    x = 995.56/29.45
  6. Step 6: Final answer
    x = 33.81

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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.