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Finding the Fourth Proportional to 108.62, 149.91 and 69.92

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Solution

The fourth proportional to 108.62, 149.91 and 69.92 is: 96.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.62 : 149.91 = 69.92 : x
  2. Step 2: Convert to fraction form
    108.62/149.91 = 69.92/x
  3. Step 3: Cross multiply
    108.62x = 149.91 × 69.92
  4. Step 4: Simplify right side
    108.62x = 10,481.71
  5. Step 5: Solve for x
    x = 10,481.71/108.62
  6. Step 6: Final answer
    x = 96.50

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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.