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Finding the Fourth Proportional to 108.11, 149.10 and 97.31

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Solution

The fourth proportional to 108.11, 149.10 and 97.31 is: 134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.11 : 149.10 = 97.31 : x
  2. Step 2: Convert to fraction form
    108.11/149.10 = 97.31/x
  3. Step 3: Cross multiply
    108.11x = 149.10 × 97.31
  4. Step 4: Simplify right side
    108.11x = 14,508.92
  5. Step 5: Solve for x
    x = 14,508.92/108.11
  6. Step 6: Final answer
    x = 134.21

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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.