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Finding the Fourth Proportional to 165.29, 227.91 and 103.09

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Solution

The fourth proportional to 165.29, 227.91 and 103.09 is: 142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.29 : 227.91 = 103.09 : x
  2. Step 2: Convert to fraction form
    165.29/227.91 = 103.09/x
  3. Step 3: Cross multiply
    165.29x = 227.91 × 103.09
  4. Step 4: Simplify right side
    165.29x = 23,496.20
  5. Step 5: Solve for x
    x = 23,496.20/165.29
  6. Step 6: Final answer
    x = 142.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.