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Finding the Fourth Proportional to 54.67, 82.02 and 36.61

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Solution

The fourth proportional to 54.67, 82.02 and 36.61 is: 54.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.67 : 82.02 = 36.61 : x
  2. Step 2: Convert to fraction form
    54.67/82.02 = 36.61/x
  3. Step 3: Cross multiply
    54.67x = 82.02 × 36.61
  4. Step 4: Simplify right side
    54.67x = 3,002.75
  5. Step 5: Solve for x
    x = 3,002.75/54.67
  6. Step 6: Final answer
    x = 54.93

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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.