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Finding the Fourth Proportional to 136.72, 205.03 and 40.56

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Solution

The fourth proportional to 136.72, 205.03 and 40.56 is: 60.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.72 : 205.03 = 40.56 : x
  2. Step 2: Convert to fraction form
    136.72/205.03 = 40.56/x
  3. Step 3: Cross multiply
    136.72x = 205.03 × 40.56
  4. Step 4: Simplify right side
    136.72x = 8,316.02
  5. Step 5: Solve for x
    x = 8,316.02/136.72
  6. Step 6: Final answer
    x = 60.83

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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.