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Finding the Fourth Proportional to 166.96, 250.26 and 106.12

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Solution

The fourth proportional to 166.96, 250.26 and 106.12 is: 159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 250.26 = 106.12 : x
  2. Step 2: Convert to fraction form
    166.96/250.26 = 106.12/x
  3. Step 3: Cross multiply
    166.96x = 250.26 × 106.12
  4. Step 4: Simplify right side
    166.96x = 26,557.59
  5. Step 5: Solve for x
    x = 26,557.59/166.96
  6. Step 6: Final answer
    x = 159.07

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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.