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Finding the Fourth Proportional to 105.92, 158.89 and 54.53

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Solution

The fourth proportional to 105.92, 158.89 and 54.53 is: 81.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 158.89 = 54.53 : x
  2. Step 2: Convert to fraction form
    105.92/158.89 = 54.53/x
  3. Step 3: Cross multiply
    105.92x = 158.89 × 54.53
  4. Step 4: Simplify right side
    105.92x = 8,664.14
  5. Step 5: Solve for x
    x = 8,664.14/105.92
  6. Step 6: Final answer
    x = 81.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.