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Finding the Fourth Proportional to 136.08, 204.12 and 75.23

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Solution

The fourth proportional to 136.08, 204.12 and 75.23 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.08 : 204.12 = 75.23 : x
  2. Step 2: Convert to fraction form
    136.08/204.12 = 75.23/x
  3. Step 3: Cross multiply
    136.08x = 204.12 × 75.23
  4. Step 4: Simplify right side
    136.08x = 15,355.69
  5. Step 5: Solve for x
    x = 15,355.69/136.08
  6. Step 6: Final answer
    x = 112.84

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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.