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Finding the Fourth Proportional to 136.96, 205.12 and 111.36

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Solution

The fourth proportional to 136.96, 205.12 and 111.36 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.96 : 205.12 = 111.36 : x
  2. Step 2: Convert to fraction form
    136.96/205.12 = 111.36/x
  3. Step 3: Cross multiply
    136.96x = 205.12 × 111.36
  4. Step 4: Simplify right side
    136.96x = 22,842.16
  5. Step 5: Solve for x
    x = 22,842.16/136.96
  6. Step 6: Final answer
    x = 166.78

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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.