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Finding the Fourth Proportional to 107.49, 161.24 and 67.10

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Solution

The fourth proportional to 107.49, 161.24 and 67.10 is: 100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.49 : 161.24 = 67.10 : x
  2. Step 2: Convert to fraction form
    107.49/161.24 = 67.10/x
  3. Step 3: Cross multiply
    107.49x = 161.24 × 67.10
  4. Step 4: Simplify right side
    107.49x = 10,818.44
  5. Step 5: Solve for x
    x = 10,818.44/107.49
  6. Step 6: Final answer
    x = 100.64

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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.