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Finding the Fourth Proportional to 37.44, 56.12 and 22.96

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Solution

The fourth proportional to 37.44, 56.12 and 22.96 is: 34.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.44 : 56.12 = 22.96 : x
  2. Step 2: Convert to fraction form
    37.44/56.12 = 22.96/x
  3. Step 3: Cross multiply
    37.44x = 56.12 × 22.96
  4. Step 4: Simplify right side
    37.44x = 1,288.52
  5. Step 5: Solve for x
    x = 1,288.52/37.44
  6. Step 6: Final answer
    x = 34.42

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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.