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Finding the Fourth Proportional to 120.87, 165.92 and 109.94

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Solution

The fourth proportional to 120.87, 165.92 and 109.94 is: 150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.87 : 165.92 = 109.94 : x
  2. Step 2: Convert to fraction form
    120.87/165.92 = 109.94/x
  3. Step 3: Cross multiply
    120.87x = 165.92 × 109.94
  4. Step 4: Simplify right side
    120.87x = 18,239.87
  5. Step 5: Solve for x
    x = 18,239.87/120.87
  6. Step 6: Final answer
    x = 150.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.