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Finding the Fourth Proportional to 110.27, 166.20 and 102.83

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Solution

The fourth proportional to 110.27, 166.20 and 102.83 is: 154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.27 : 166.20 = 102.83 : x
  2. Step 2: Convert to fraction form
    110.27/166.20 = 102.83/x
  3. Step 3: Cross multiply
    110.27x = 166.20 × 102.83
  4. Step 4: Simplify right side
    110.27x = 17,089.52
  5. Step 5: Solve for x
    x = 17,089.52/110.27
  6. Step 6: Final answer
    x = 154.99

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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.