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Finding the Fourth Proportional to 136.26, 203.88 and 105.78

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Solution

The fourth proportional to 136.26, 203.88 and 105.78 is: 158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.26 : 203.88 = 105.78 : x
  2. Step 2: Convert to fraction form
    136.26/203.88 = 105.78/x
  3. Step 3: Cross multiply
    136.26x = 203.88 × 105.78
  4. Step 4: Simplify right side
    136.26x = 21,566.43
  5. Step 5: Solve for x
    x = 21,566.43/136.26
  6. Step 6: Final answer
    x = 158.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.