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Finding the Fourth Proportional to 54.24, 81.24 and 22.14

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Solution

The fourth proportional to 54.24, 81.24 and 22.14 is: 33.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.24 : 81.24 = 22.14 : x
  2. Step 2: Convert to fraction form
    54.24/81.24 = 22.14/x
  3. Step 3: Cross multiply
    54.24x = 81.24 × 22.14
  4. Step 4: Simplify right side
    54.24x = 1,798.65
  5. Step 5: Solve for x
    x = 1,798.65/54.24
  6. Step 6: Final answer
    x = 33.16

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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.