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Finding the Fourth Proportional to 120.13, 165.77 and 68.38

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Solution

The fourth proportional to 120.13, 165.77 and 68.38 is: 94.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.13 : 165.77 = 68.38 : x
  2. Step 2: Convert to fraction form
    120.13/165.77 = 68.38/x
  3. Step 3: Cross multiply
    120.13x = 165.77 × 68.38
  4. Step 4: Simplify right side
    120.13x = 11,335.35
  5. Step 5: Solve for x
    x = 11,335.35/120.13
  6. Step 6: Final answer
    x = 94.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.