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Finding the Fourth Proportional to 120.99, 165.85 and 120.79

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Solution

The fourth proportional to 120.99, 165.85 and 120.79 is: 165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.99 : 165.85 = 120.79 : x
  2. Step 2: Convert to fraction form
    120.99/165.85 = 120.79/x
  3. Step 3: Cross multiply
    120.99x = 165.85 × 120.79
  4. Step 4: Simplify right side
    120.99x = 20,033.02
  5. Step 5: Solve for x
    x = 20,033.02/120.99
  6. Step 6: Final answer
    x = 165.58

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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.