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Finding the Fourth Proportional to 166.11, 249.08 and 69.81

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Solution

The fourth proportional to 166.11, 249.08 and 69.81 is: 104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.11 : 249.08 = 69.81 : x
  2. Step 2: Convert to fraction form
    166.11/249.08 = 69.81/x
  3. Step 3: Cross multiply
    166.11x = 249.08 × 69.81
  4. Step 4: Simplify right side
    166.11x = 17,387.93
  5. Step 5: Solve for x
    x = 17,387.93/166.11
  6. Step 6: Final answer
    x = 104.68

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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.