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Finding the Fourth Proportional to 105.96, 158.98 and 67.02

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Solution

The fourth proportional to 105.96, 158.98 and 67.02 is: 100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.96 : 158.98 = 67.02 : x
  2. Step 2: Convert to fraction form
    105.96/158.98 = 67.02/x
  3. Step 3: Cross multiply
    105.96x = 158.98 × 67.02
  4. Step 4: Simplify right side
    105.96x = 10,654.84
  5. Step 5: Solve for x
    x = 10,654.84/105.96
  6. Step 6: Final answer
    x = 100.56

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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.