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Finding the Fourth Proportional to 166.68, 249.78 and 81.24

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Solution

The fourth proportional to 166.68, 249.78 and 81.24 is: 121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.68 : 249.78 = 81.24 : x
  2. Step 2: Convert to fraction form
    166.68/249.78 = 81.24/x
  3. Step 3: Cross multiply
    166.68x = 249.78 × 81.24
  4. Step 4: Simplify right side
    166.68x = 20,292.13
  5. Step 5: Solve for x
    x = 20,292.13/166.68
  6. Step 6: Final answer
    x = 121.74

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Why These Related Problems?

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