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Finding the Fourth Proportional to 110.11, 151.96 and 80.70

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Solution

The fourth proportional to 110.11, 151.96 and 80.70 is: 111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.11 : 151.96 = 80.70 : x
  2. Step 2: Convert to fraction form
    110.11/151.96 = 80.70/x
  3. Step 3: Cross multiply
    110.11x = 151.96 × 80.70
  4. Step 4: Simplify right side
    110.11x = 12,262.55
  5. Step 5: Solve for x
    x = 12,262.55/110.11
  6. Step 6: Final answer
    x = 111.37

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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.