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Finding the Fourth Proportional to 54.62, 81.94 and 36.58

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Solution

The fourth proportional to 54.62, 81.94 and 36.58 is: 54.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.62 : 81.94 = 36.58 : x
  2. Step 2: Convert to fraction form
    54.62/81.94 = 36.58/x
  3. Step 3: Cross multiply
    54.62x = 81.94 × 36.58
  4. Step 4: Simplify right side
    54.62x = 2,997.37
  5. Step 5: Solve for x
    x = 2,997.37/54.62
  6. Step 6: Final answer
    x = 54.88

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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.