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Finding the Fourth Proportional to 136.08, 204.20 and 75.24

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Solution

The fourth proportional to 136.08, 204.20 and 75.24 is: 112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.08 : 204.20 = 75.24 : x
  2. Step 2: Convert to fraction form
    136.08/204.20 = 75.24/x
  3. Step 3: Cross multiply
    136.08x = 204.20 × 75.24
  4. Step 4: Simplify right side
    136.08x = 15,364.01
  5. Step 5: Solve for x
    x = 15,364.01/136.08
  6. Step 6: Final answer
    x = 112.90

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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.