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Finding the Fourth Proportional to 136.12, 203.71 and 114.48

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Solution

The fourth proportional to 136.12, 203.71 and 114.48 is: 171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.12 : 203.71 = 114.48 : x
  2. Step 2: Convert to fraction form
    136.12/203.71 = 114.48/x
  3. Step 3: Cross multiply
    136.12x = 203.71 × 114.48
  4. Step 4: Simplify right side
    136.12x = 23,319.99
  5. Step 5: Solve for x
    x = 23,319.99/136.12
  6. Step 6: Final answer
    x = 171.33

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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.