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Finding the Fourth Proportional to 29.64, 44.24 and 22.85

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Solution

The fourth proportional to 29.64, 44.24 and 22.85 is: 34.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 44.24 = 22.85 : x
  2. Step 2: Convert to fraction form
    29.64/44.24 = 22.85/x
  3. Step 3: Cross multiply
    29.64x = 44.24 × 22.85
  4. Step 4: Simplify right side
    29.64x = 1,010.55
  5. Step 5: Solve for x
    x = 1,010.55/29.64
  6. Step 6: Final answer
    x = 34.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.