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Finding the Fourth Proportional to 161.64, 223.20 and 106.49

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Solution

The fourth proportional to 161.64, 223.20 and 106.49 is: 147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.64 : 223.20 = 106.49 : x
  2. Step 2: Convert to fraction form
    161.64/223.20 = 106.49/x
  3. Step 3: Cross multiply
    161.64x = 223.20 × 106.49
  4. Step 4: Simplify right side
    161.64x = 23,767.45
  5. Step 5: Solve for x
    x = 23,767.45/161.64
  6. Step 6: Final answer
    x = 147.04

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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.