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Finding the Fourth Proportional to 105.43, 158.18 and 44.61

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Solution

The fourth proportional to 105.43, 158.18 and 44.61 is: 66.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.43 : 158.18 = 44.61 : x
  2. Step 2: Convert to fraction form
    105.43/158.18 = 44.61/x
  3. Step 3: Cross multiply
    105.43x = 158.18 × 44.61
  4. Step 4: Simplify right side
    105.43x = 7,056.41
  5. Step 5: Solve for x
    x = 7,056.41/105.43
  6. Step 6: Final answer
    x = 66.93

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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.