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Finding the Fourth Proportional to 108.20, 161.94 and 106.76

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Solution

The fourth proportional to 108.20, 161.94 and 106.76 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.20 : 161.94 = 106.76 : x
  2. Step 2: Convert to fraction form
    108.20/161.94 = 106.76/x
  3. Step 3: Cross multiply
    108.20x = 161.94 × 106.76
  4. Step 4: Simplify right side
    108.20x = 17,288.71
  5. Step 5: Solve for x
    x = 17,288.71/108.20
  6. Step 6: Final answer
    x = 159.78

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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.