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Finding the Fourth Proportional to 109.49, 164.24 and 69.10

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Solution

The fourth proportional to 109.49, 164.24 and 69.10 is: 103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.49 : 164.24 = 69.10 : x
  2. Step 2: Convert to fraction form
    109.49/164.24 = 69.10/x
  3. Step 3: Cross multiply
    109.49x = 164.24 × 69.10
  4. Step 4: Simplify right side
    109.49x = 11,348.98
  5. Step 5: Solve for x
    x = 11,348.98/109.49
  6. Step 6: Final answer
    x = 103.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.