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Finding the Fourth Proportional to 28.44, 42.54 and 22.96

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Solution

The fourth proportional to 28.44, 42.54 and 22.96 is: 34.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.44 : 42.54 = 22.96 : x
  2. Step 2: Convert to fraction form
    28.44/42.54 = 22.96/x
  3. Step 3: Cross multiply
    28.44x = 42.54 × 22.96
  4. Step 4: Simplify right side
    28.44x = 976.72
  5. Step 5: Solve for x
    x = 976.72/28.44
  6. Step 6: Final answer
    x = 34.34

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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.