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Finding the Fourth Proportional to 68.46, 102.69 and 20.37

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Solution

The fourth proportional to 68.46, 102.69 and 20.37 is: 30.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.46 : 102.69 = 20.37 : x
  2. Step 2: Convert to fraction form
    68.46/102.69 = 20.37/x
  3. Step 3: Cross multiply
    68.46x = 102.69 × 20.37
  4. Step 4: Simplify right side
    68.46x = 2,091.54
  5. Step 5: Solve for x
    x = 2,091.54/68.46
  6. Step 6: Final answer
    x = 30.55

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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.