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Finding the Fourth Proportional to 105.17, 157.09 and 80.80

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Solution

The fourth proportional to 105.17, 157.09 and 80.80 is: 120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.17 : 157.09 = 80.80 : x
  2. Step 2: Convert to fraction form
    105.17/157.09 = 80.80/x
  3. Step 3: Cross multiply
    105.17x = 157.09 × 80.80
  4. Step 4: Simplify right side
    105.17x = 12,692.43
  5. Step 5: Solve for x
    x = 12,692.43/105.17
  6. Step 6: Final answer
    x = 120.68

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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.