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Finding the Fourth Proportional to 82.14, 123.20 and 36.47

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Solution

The fourth proportional to 82.14, 123.20 and 36.47 is: 54.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 123.20 = 36.47 : x
  2. Step 2: Convert to fraction form
    82.14/123.20 = 36.47/x
  3. Step 3: Cross multiply
    82.14x = 123.20 × 36.47
  4. Step 4: Simplify right side
    82.14x = 4,493.37
  5. Step 5: Solve for x
    x = 4,493.37/82.14
  6. Step 6: Final answer
    x = 54.71

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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.