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Finding the Fourth Proportional to 110.73, 166.69 and 85.19

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Solution

The fourth proportional to 110.73, 166.69 and 85.19 is: 128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.73 : 166.69 = 85.19 : x
  2. Step 2: Convert to fraction form
    110.73/166.69 = 85.19/x
  3. Step 3: Cross multiply
    110.73x = 166.69 × 85.19
  4. Step 4: Simplify right side
    110.73x = 14,200.52
  5. Step 5: Solve for x
    x = 14,200.52/110.73
  6. Step 6: Final answer
    x = 128.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.