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Finding the Fourth Proportional to 120.71, 165.14 and 120.20

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Solution

The fourth proportional to 120.71, 165.14 and 120.20 is: 164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.71 : 165.14 = 120.20 : x
  2. Step 2: Convert to fraction form
    120.71/165.14 = 120.20/x
  3. Step 3: Cross multiply
    120.71x = 165.14 × 120.20
  4. Step 4: Simplify right side
    120.71x = 19,848.85
  5. Step 5: Solve for x
    x = 19,848.85/120.71
  6. Step 6: Final answer
    x = 164.43

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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.