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Finding the Fourth Proportional to 108.24, 149.49 and 83.85

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Solution

The fourth proportional to 108.24, 149.49 and 83.85 is: 115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.24 : 149.49 = 83.85 : x
  2. Step 2: Convert to fraction form
    108.24/149.49 = 83.85/x
  3. Step 3: Cross multiply
    108.24x = 149.49 × 83.85
  4. Step 4: Simplify right side
    108.24x = 12,534.74
  5. Step 5: Solve for x
    x = 12,534.74/108.24
  6. Step 6: Final answer
    x = 115.81

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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.