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Finding the Fourth Proportional to 105.82, 158.03 and 81.70

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Solution

The fourth proportional to 105.82, 158.03 and 81.70 is: 122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 158.03 = 81.70 : x
  2. Step 2: Convert to fraction form
    105.82/158.03 = 81.70/x
  3. Step 3: Cross multiply
    105.82x = 158.03 × 81.70
  4. Step 4: Simplify right side
    105.82x = 12,911.05
  5. Step 5: Solve for x
    x = 12,911.05/105.82
  6. Step 6: Final answer
    x = 122.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.