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Finding the Fourth Proportional to 136.26, 205.11 and 95.96

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Solution

The fourth proportional to 136.26, 205.11 and 95.96 is: 144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.26 : 205.11 = 95.96 : x
  2. Step 2: Convert to fraction form
    136.26/205.11 = 95.96/x
  3. Step 3: Cross multiply
    136.26x = 205.11 × 95.96
  4. Step 4: Simplify right side
    136.26x = 19,682.36
  5. Step 5: Solve for x
    x = 19,682.36/136.26
  6. Step 6: Final answer
    x = 144.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.