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Finding the Fourth Proportional to 105.72, 158.73 and 102.98

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Solution

The fourth proportional to 105.72, 158.73 and 102.98 is: 154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.72 : 158.73 = 102.98 : x
  2. Step 2: Convert to fraction form
    105.72/158.73 = 102.98/x
  3. Step 3: Cross multiply
    105.72x = 158.73 × 102.98
  4. Step 4: Simplify right side
    105.72x = 16,346.03
  5. Step 5: Solve for x
    x = 16,346.03/105.72
  6. Step 6: Final answer
    x = 154.62

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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.