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Finding the Fourth Proportional to 136.14, 203.27 and 116.90

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Solution

The fourth proportional to 136.14, 203.27 and 116.90 is: 174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.14 : 203.27 = 116.90 : x
  2. Step 2: Convert to fraction form
    136.14/203.27 = 116.90/x
  3. Step 3: Cross multiply
    136.14x = 203.27 × 116.90
  4. Step 4: Simplify right side
    136.14x = 23,762.26
  5. Step 5: Solve for x
    x = 23,762.26/136.14
  6. Step 6: Final answer
    x = 174.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.