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Finding the Fourth Proportional to 110.75, 166.13 and 34.75

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Solution

The fourth proportional to 110.75, 166.13 and 34.75 is: 52.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.75 : 166.13 = 34.75 : x
  2. Step 2: Convert to fraction form
    110.75/166.13 = 34.75/x
  3. Step 3: Cross multiply
    110.75x = 166.13 × 34.75
  4. Step 4: Simplify right side
    110.75x = 5,772.84
  5. Step 5: Solve for x
    x = 5,772.84/110.75
  6. Step 6: Final answer
    x = 52.13

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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.