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Finding the Fourth Proportional to 123.44, 185.22 and 110.66

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Solution

The fourth proportional to 123.44, 185.22 and 110.66 is: 166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.44 : 185.22 = 110.66 : x
  2. Step 2: Convert to fraction form
    123.44/185.22 = 110.66/x
  3. Step 3: Cross multiply
    123.44x = 185.22 × 110.66
  4. Step 4: Simplify right side
    123.44x = 20,495.52
  5. Step 5: Solve for x
    x = 20,495.52/123.44
  6. Step 6: Final answer
    x = 166.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.