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Finding the Fourth Proportional to 110.20, 151.11 and 106.34

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Solution

The fourth proportional to 110.20, 151.11 and 106.34 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.20 : 151.11 = 106.34 : x
  2. Step 2: Convert to fraction form
    110.20/151.11 = 106.34/x
  3. Step 3: Cross multiply
    110.20x = 151.11 × 106.34
  4. Step 4: Simplify right side
    110.20x = 16,067.88
  5. Step 5: Solve for x
    x = 16,067.88/110.20
  6. Step 6: Final answer
    x = 145.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.