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Finding the Fourth Proportional to 136.92, 204.83 and 104.22

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Solution

The fourth proportional to 136.92, 204.83 and 104.22 is: 155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.92 : 204.83 = 104.22 : x
  2. Step 2: Convert to fraction form
    136.92/204.83 = 104.22/x
  3. Step 3: Cross multiply
    136.92x = 204.83 × 104.22
  4. Step 4: Simplify right side
    136.92x = 21,347.25
  5. Step 5: Solve for x
    x = 21,347.25/136.92
  6. Step 6: Final answer
    x = 155.91

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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.