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Finding the Fourth Proportional to 166.11, 249.24 and 84.99

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Solution

The fourth proportional to 166.11, 249.24 and 84.99 is: 127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.11 : 249.24 = 84.99 : x
  2. Step 2: Convert to fraction form
    166.11/249.24 = 84.99/x
  3. Step 3: Cross multiply
    166.11x = 249.24 × 84.99
  4. Step 4: Simplify right side
    166.11x = 21,182.91
  5. Step 5: Solve for x
    x = 21,182.91/166.11
  6. Step 6: Final answer
    x = 127.52

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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.