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Finding the Fourth Proportional to 82.19, 123.24 and 36.49

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Solution

The fourth proportional to 82.19, 123.24 and 36.49 is: 54.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.19 : 123.24 = 36.49 : x
  2. Step 2: Convert to fraction form
    82.19/123.24 = 36.49/x
  3. Step 3: Cross multiply
    82.19x = 123.24 × 36.49
  4. Step 4: Simplify right side
    82.19x = 4,497.03
  5. Step 5: Solve for x
    x = 4,497.03/82.19
  6. Step 6: Final answer
    x = 54.72

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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.