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Finding the Fourth Proportional to 106.37, 146.77 and 80.11

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Solution

The fourth proportional to 106.37, 146.77 and 80.11 is: 110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.37 : 146.77 = 80.11 : x
  2. Step 2: Convert to fraction form
    106.37/146.77 = 80.11/x
  3. Step 3: Cross multiply
    106.37x = 146.77 × 80.11
  4. Step 4: Simplify right side
    106.37x = 11,757.74
  5. Step 5: Solve for x
    x = 11,757.74/106.37
  6. Step 6: Final answer
    x = 110.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.