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Finding the Fourth Proportional to 161.96, 223.23 and 106.67

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Solution

The fourth proportional to 161.96, 223.23 and 106.67 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 223.23 = 106.67 : x
  2. Step 2: Convert to fraction form
    161.96/223.23 = 106.67/x
  3. Step 3: Cross multiply
    161.96x = 223.23 × 106.67
  4. Step 4: Simplify right side
    161.96x = 23,810.83
  5. Step 5: Solve for x
    x = 23,810.83/161.96
  6. Step 6: Final answer
    x = 147.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.