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Finding the Fourth Proportional to 54.87, 82.25 and 22.35

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Solution

The fourth proportional to 54.87, 82.25 and 22.35 is: 33.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.87 : 82.25 = 22.35 : x
  2. Step 2: Convert to fraction form
    54.87/82.25 = 22.35/x
  3. Step 3: Cross multiply
    54.87x = 82.25 × 22.35
  4. Step 4: Simplify right side
    54.87x = 1,838.57
  5. Step 5: Solve for x
    x = 1,838.57/54.87
  6. Step 6: Final answer
    x = 33.51

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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.