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Finding the Fourth Proportional to 54.77, 82.12 and 22.24

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Solution

The fourth proportional to 54.77, 82.12 and 22.24 is: 33.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.77 : 82.12 = 22.24 : x
  2. Step 2: Convert to fraction form
    54.77/82.12 = 22.24/x
  3. Step 3: Cross multiply
    54.77x = 82.12 × 22.24
  4. Step 4: Simplify right side
    54.77x = 1,826.35
  5. Step 5: Solve for x
    x = 1,826.35/54.77
  6. Step 6: Final answer
    x = 33.35

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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.