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Finding the Fourth Proportional to 120.67, 165.76 and 106.09

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Solution

The fourth proportional to 120.67, 165.76 and 106.09 is: 145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.67 : 165.76 = 106.09 : x
  2. Step 2: Convert to fraction form
    120.67/165.76 = 106.09/x
  3. Step 3: Cross multiply
    120.67x = 165.76 × 106.09
  4. Step 4: Simplify right side
    120.67x = 17,585.48
  5. Step 5: Solve for x
    x = 17,585.48/120.67
  6. Step 6: Final answer
    x = 145.73

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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.