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Finding the Fourth Proportional to 108.22, 161.02 and 107.86

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Solution

The fourth proportional to 108.22, 161.02 and 107.86 is: 160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.22 : 161.02 = 107.86 : x
  2. Step 2: Convert to fraction form
    108.22/161.02 = 107.86/x
  3. Step 3: Cross multiply
    108.22x = 161.02 × 107.86
  4. Step 4: Simplify right side
    108.22x = 17,367.62
  5. Step 5: Solve for x
    x = 17,367.62/108.22
  6. Step 6: Final answer
    x = 160.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.