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Finding the Fourth Proportional to 108.27, 161.73 and 90

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Solution

The fourth proportional to 108.27, 161.73 and 90 is: 134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.27 : 161.73 = 90 : x
  2. Step 2: Convert to fraction form
    108.27/161.73 = 90/x
  3. Step 3: Cross multiply
    108.27x = 161.73 × 90
  4. Step 4: Simplify right side
    108.27x = 14,555.70
  5. Step 5: Solve for x
    x = 14,555.70/108.27
  6. Step 6: Final answer
    x = 134.44

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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.