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Finding the Fourth Proportional to 127.01, 173.96 and 120.84

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Solution

The fourth proportional to 127.01, 173.96 and 120.84 is: 165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.01 : 173.96 = 120.84 : x
  2. Step 2: Convert to fraction form
    127.01/173.96 = 120.84/x
  3. Step 3: Cross multiply
    127.01x = 173.96 × 120.84
  4. Step 4: Simplify right side
    127.01x = 21,020.72
  5. Step 5: Solve for x
    x = 21,020.72/127.01
  6. Step 6: Final answer
    x = 165.51

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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.