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Finding the Fourth Proportional to 165.09, 227.70 and 102.85

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Solution

The fourth proportional to 165.09, 227.70 and 102.85 is: 141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.09 : 227.70 = 102.85 : x
  2. Step 2: Convert to fraction form
    165.09/227.70 = 102.85/x
  3. Step 3: Cross multiply
    165.09x = 227.70 × 102.85
  4. Step 4: Simplify right side
    165.09x = 23,418.95
  5. Step 5: Solve for x
    x = 23,418.95/165.09
  6. Step 6: Final answer
    x = 141.86

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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.