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Finding the Fourth Proportional to 54.79, 82.14 and 22.24

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Solution

The fourth proportional to 54.79, 82.14 and 22.24 is: 33.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.79 : 82.14 = 22.24 : x
  2. Step 2: Convert to fraction form
    54.79/82.14 = 22.24/x
  3. Step 3: Cross multiply
    54.79x = 82.14 × 22.24
  4. Step 4: Simplify right side
    54.79x = 1,826.88
  5. Step 5: Solve for x
    x = 1,826.88/54.79
  6. Step 6: Final answer
    x = 33.34

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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.