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Finding the Fourth Proportional to 107.85, 161.07 and 80.76

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Solution

The fourth proportional to 107.85, 161.07 and 80.76 is: 120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.85 : 161.07 = 80.76 : x
  2. Step 2: Convert to fraction form
    107.85/161.07 = 80.76/x
  3. Step 3: Cross multiply
    107.85x = 161.07 × 80.76
  4. Step 4: Simplify right side
    107.85x = 13,008.01
  5. Step 5: Solve for x
    x = 13,008.01/107.85
  6. Step 6: Final answer
    x = 120.61

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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.