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Finding the Fourth Proportional to 108.09, 149.04 and 80.37

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Solution

The fourth proportional to 108.09, 149.04 and 80.37 is: 110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 149.04 = 80.37 : x
  2. Step 2: Convert to fraction form
    108.09/149.04 = 80.37/x
  3. Step 3: Cross multiply
    108.09x = 149.04 × 80.37
  4. Step 4: Simplify right side
    108.09x = 11,978.34
  5. Step 5: Solve for x
    x = 11,978.34/108.09
  6. Step 6: Final answer
    x = 110.82

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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.