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Finding the Fourth Proportional to 136.81, 205.21 and 96.41

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Solution

The fourth proportional to 136.81, 205.21 and 96.41 is: 144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.81 : 205.21 = 96.41 : x
  2. Step 2: Convert to fraction form
    136.81/205.21 = 96.41/x
  3. Step 3: Cross multiply
    136.81x = 205.21 × 96.41
  4. Step 4: Simplify right side
    136.81x = 19,784.30
  5. Step 5: Solve for x
    x = 19,784.30/136.81
  6. Step 6: Final answer
    x = 144.61

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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.