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Finding the Fourth Proportional to 54.96, 82.44 and 22.88

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Solution

The fourth proportional to 54.96, 82.44 and 22.88 is: 34.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.96 : 82.44 = 22.88 : x
  2. Step 2: Convert to fraction form
    54.96/82.44 = 22.88/x
  3. Step 3: Cross multiply
    54.96x = 82.44 × 22.88
  4. Step 4: Simplify right side
    54.96x = 1,885.82
  5. Step 5: Solve for x
    x = 1,885.82/54.96
  6. Step 6: Final answer
    x = 34.31

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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.