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Finding the Fourth Proportional to 42.24, 63.32 and 22.96

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Solution

The fourth proportional to 42.24, 63.32 and 22.96 is: 34.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.24 : 63.32 = 22.96 : x
  2. Step 2: Convert to fraction form
    42.24/63.32 = 22.96/x
  3. Step 3: Cross multiply
    42.24x = 63.32 × 22.96
  4. Step 4: Simplify right side
    42.24x = 1,453.83
  5. Step 5: Solve for x
    x = 1,453.83/42.24
  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.