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Finding the Fourth Proportional to 136.26, 204.40 and 104.14

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Solution

The fourth proportional to 136.26, 204.40 and 104.14 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.26 : 204.40 = 104.14 : x
  2. Step 2: Convert to fraction form
    136.26/204.40 = 104.14/x
  3. Step 3: Cross multiply
    136.26x = 204.40 × 104.14
  4. Step 4: Simplify right side
    136.26x = 21,286.22
  5. Step 5: Solve for x
    x = 21,286.22/136.26
  6. Step 6: Final answer
    x = 156.22

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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.