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Finding the Fourth Proportional to 106.09, 158.87 and 67.46

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Solution

The fourth proportional to 106.09, 158.87 and 67.46 is: 101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.09 : 158.87 = 67.46 : x
  2. Step 2: Convert to fraction form
    106.09/158.87 = 67.46/x
  3. Step 3: Cross multiply
    106.09x = 158.87 × 67.46
  4. Step 4: Simplify right side
    106.09x = 10,717.37
  5. Step 5: Solve for x
    x = 10,717.37/106.09
  6. Step 6: Final answer
    x = 101.02

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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.