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Finding the Fourth Proportional to 120.11, 165.81 and 75.86

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Solution

The fourth proportional to 120.11, 165.81 and 75.86 is: 104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.11 : 165.81 = 75.86 : x
  2. Step 2: Convert to fraction form
    120.11/165.81 = 75.86/x
  3. Step 3: Cross multiply
    120.11x = 165.81 × 75.86
  4. Step 4: Simplify right side
    120.11x = 12,579.36
  5. Step 5: Solve for x
    x = 12,579.36/120.11
  6. Step 6: Final answer
    x = 104.73

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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.