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Finding the Fourth Proportional to 161.68, 223.08 and 106.40

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Solution

The fourth proportional to 161.68, 223.08 and 106.40 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.68 : 223.08 = 106.40 : x
  2. Step 2: Convert to fraction form
    161.68/223.08 = 106.40/x
  3. Step 3: Cross multiply
    161.68x = 223.08 × 106.40
  4. Step 4: Simplify right side
    161.68x = 23,735.71
  5. Step 5: Solve for x
    x = 23,735.71/161.68
  6. Step 6: Final answer
    x = 146.81

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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.