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Finding the Fourth Proportional to 136.35, 204.23 and 105.68

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Solution

The fourth proportional to 136.35, 204.23 and 105.68 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.35 : 204.23 = 105.68 : x
  2. Step 2: Convert to fraction form
    136.35/204.23 = 105.68/x
  3. Step 3: Cross multiply
    136.35x = 204.23 × 105.68
  4. Step 4: Simplify right side
    136.35x = 21,581.48
  5. Step 5: Solve for x
    x = 21,581.48/136.35
  6. Step 6: Final answer
    x = 158.28

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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.