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Finding the Fourth Proportional to 136.24, 204.06 and 135.34

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Solution

The fourth proportional to 136.24, 204.06 and 135.34 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.24 : 204.06 = 135.34 : x
  2. Step 2: Convert to fraction form
    136.24/204.06 = 135.34/x
  3. Step 3: Cross multiply
    136.24x = 204.06 × 135.34
  4. Step 4: Simplify right side
    136.24x = 27,617.48
  5. Step 5: Solve for x
    x = 27,617.48/136.24
  6. Step 6: Final answer
    x = 202.71

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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.