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Finding the Fourth Proportional to 107.35, 161.12 and 101.97

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Solution

The fourth proportional to 107.35, 161.12 and 101.97 is: 153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.35 : 161.12 = 101.97 : x
  2. Step 2: Convert to fraction form
    107.35/161.12 = 101.97/x
  3. Step 3: Cross multiply
    107.35x = 161.12 × 101.97
  4. Step 4: Simplify right side
    107.35x = 16,429.66
  5. Step 5: Solve for x
    x = 16,429.66/107.35
  6. Step 6: Final answer
    x = 153.05

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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.