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Finding the Fourth Proportional to 110.05, 151.83 and 82.44

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Solution

The fourth proportional to 110.05, 151.83 and 82.44 is: 113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.05 : 151.83 = 82.44 : x
  2. Step 2: Convert to fraction form
    110.05/151.83 = 82.44/x
  3. Step 3: Cross multiply
    110.05x = 151.83 × 82.44
  4. Step 4: Simplify right side
    110.05x = 12,516.87
  5. Step 5: Solve for x
    x = 12,516.87/110.05
  6. Step 6: Final answer
    x = 113.74

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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.