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Finding the Fourth Proportional to 54.52, 81.62 and 34.14

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Solution

The fourth proportional to 54.52, 81.62 and 34.14 is: 51.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.52 : 81.62 = 34.14 : x
  2. Step 2: Convert to fraction form
    54.52/81.62 = 34.14/x
  3. Step 3: Cross multiply
    54.52x = 81.62 × 34.14
  4. Step 4: Simplify right side
    54.52x = 2,786.51
  5. Step 5: Solve for x
    x = 2,786.51/54.52
  6. Step 6: Final answer
    x = 51.11

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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.