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Finding the Fourth Proportional to 136.37, 204.45 and 85

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Solution

The fourth proportional to 136.37, 204.45 and 85 is: 127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.37 : 204.45 = 85 : x
  2. Step 2: Convert to fraction form
    136.37/204.45 = 85/x
  3. Step 3: Cross multiply
    136.37x = 204.45 × 85
  4. Step 4: Simplify right side
    136.37x = 17,378.25
  5. Step 5: Solve for x
    x = 17,378.25/136.37
  6. Step 6: Final answer
    x = 127.43

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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.