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Finding the Fourth Proportional to 110, 165 and 34

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Solution

The fourth proportional to 110, 165 and 34 is: 51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 165 = 34 : x
  2. Step 2: Convert to fraction form
    110/165 = 34/x
  3. Step 3: Cross multiply
    110x = 165 × 34
  4. Step 4: Simplify right side
    110x = 5,610
  5. Step 5: Solve for x
    x = 5,610/110
  6. Step 6: Final answer
    x = 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.