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Finding the Fourth Proportional to 136.96, 205.12 and 109.68

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Solution

The fourth proportional to 136.96, 205.12 and 109.68 is: 164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.96 : 205.12 = 109.68 : x
  2. Step 2: Convert to fraction form
    136.96/205.12 = 109.68/x
  3. Step 3: Cross multiply
    136.96x = 205.12 × 109.68
  4. Step 4: Simplify right side
    136.96x = 22,497.56
  5. Step 5: Solve for x
    x = 22,497.56/136.96
  6. Step 6: Final answer
    x = 164.26

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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.