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Finding the Fourth Proportional to 166.35, 249.61 and 68.93

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Solution

The fourth proportional to 166.35, 249.61 and 68.93 is: 103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.35 : 249.61 = 68.93 : x
  2. Step 2: Convert to fraction form
    166.35/249.61 = 68.93/x
  3. Step 3: Cross multiply
    166.35x = 249.61 × 68.93
  4. Step 4: Simplify right side
    166.35x = 17,204.20
  5. Step 5: Solve for x
    x = 17,204.20/166.35
  6. Step 6: Final answer
    x = 103.42

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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.