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Finding the Fourth Proportional to 110.80, 166.44 and 106.75

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Solution

The fourth proportional to 110.80, 166.44 and 106.75 is: 160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.80 : 166.44 = 106.75 : x
  2. Step 2: Convert to fraction form
    110.80/166.44 = 106.75/x
  3. Step 3: Cross multiply
    110.80x = 166.44 × 106.75
  4. Step 4: Simplify right side
    110.80x = 17,767.47
  5. Step 5: Solve for x
    x = 17,767.47/110.80
  6. Step 6: Final answer
    x = 160.36

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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.