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Finding the Fourth Proportional to 272.36, 408.36 and 107.72

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Solution

The fourth proportional to 272.36, 408.36 and 107.72 is: 161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.36 : 408.36 = 107.72 : x
  2. Step 2: Convert to fraction form
    272.36/408.36 = 107.72/x
  3. Step 3: Cross multiply
    272.36x = 408.36 × 107.72
  4. Step 4: Simplify right side
    272.36x = 43,988.54
  5. Step 5: Solve for x
    x = 43,988.54/272.36
  6. Step 6: Final answer
    x = 161.51

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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.