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Finding the Fourth Proportional to 136.12, 204.22 and 78.36

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Solution

The fourth proportional to 136.12, 204.22 and 78.36 is: 117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.12 : 204.22 = 78.36 : x
  2. Step 2: Convert to fraction form
    136.12/204.22 = 78.36/x
  3. Step 3: Cross multiply
    136.12x = 204.22 × 78.36
  4. Step 4: Simplify right side
    136.12x = 16,002.68
  5. Step 5: Solve for x
    x = 16,002.68/136.12
  6. Step 6: Final answer
    x = 117.56

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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.