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Finding the Fourth Proportional to 108.09, 162.14 and 84.20

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Solution

The fourth proportional to 108.09, 162.14 and 84.20 is: 126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 162.14 = 84.20 : x
  2. Step 2: Convert to fraction form
    108.09/162.14 = 84.20/x
  3. Step 3: Cross multiply
    108.09x = 162.14 × 84.20
  4. Step 4: Simplify right side
    108.09x = 13,650.96
  5. Step 5: Solve for x
    x = 13,650.96/108.09
  6. Step 6: Final answer
    x = 126.29

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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.