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Finding the Fourth Proportional to 123.26, 185.22 and 110.57

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Solution

The fourth proportional to 123.26, 185.22 and 110.57 is: 166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.26 : 185.22 = 110.57 : x
  2. Step 2: Convert to fraction form
    123.26/185.22 = 110.57/x
  3. Step 3: Cross multiply
    123.26x = 185.22 × 110.57
  4. Step 4: Simplify right side
    123.26x = 20,478.85
  5. Step 5: Solve for x
    x = 20,478.85/123.26
  6. Step 6: Final answer
    x = 166.15

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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.