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Finding the Fourth Proportional to 107.97, 161.64 and 68.91

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Solution

The fourth proportional to 107.97, 161.64 and 68.91 is: 103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.97 : 161.64 = 68.91 : x
  2. Step 2: Convert to fraction form
    107.97/161.64 = 68.91/x
  3. Step 3: Cross multiply
    107.97x = 161.64 × 68.91
  4. Step 4: Simplify right side
    107.97x = 11,138.61
  5. Step 5: Solve for x
    x = 11,138.61/107.97
  6. Step 6: Final answer
    x = 103.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.