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Finding the Fourth Proportional to 54.17, 81.25 and 22.10

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Solution

The fourth proportional to 54.17, 81.25 and 22.10 is: 33.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.17 : 81.25 = 22.10 : x
  2. Step 2: Convert to fraction form
    54.17/81.25 = 22.10/x
  3. Step 3: Cross multiply
    54.17x = 81.25 × 22.10
  4. Step 4: Simplify right side
    54.17x = 1,795.77
  5. Step 5: Solve for x
    x = 1,795.77/54.17
  6. Step 6: Final answer
    x = 33.15

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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.