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Finding the Fourth Proportional to 108.69, 149.84 and 83.83

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Solution

The fourth proportional to 108.69, 149.84 and 83.83 is: 115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.69 : 149.84 = 83.83 : x
  2. Step 2: Convert to fraction form
    108.69/149.84 = 83.83/x
  3. Step 3: Cross multiply
    108.69x = 149.84 × 83.83
  4. Step 4: Simplify right side
    108.69x = 12,560.89
  5. Step 5: Solve for x
    x = 12,560.89/108.69
  6. Step 6: Final answer
    x = 115.57

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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.