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Finding the Fourth Proportional to 106.18, 158.94 and 67.53

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Solution

The fourth proportional to 106.18, 158.94 and 67.53 is: 101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.18 : 158.94 = 67.53 : x
  2. Step 2: Convert to fraction form
    106.18/158.94 = 67.53/x
  3. Step 3: Cross multiply
    106.18x = 158.94 × 67.53
  4. Step 4: Simplify right side
    106.18x = 10,733.22
  5. Step 5: Solve for x
    x = 10,733.22/106.18
  6. Step 6: Final answer
    x = 101.09

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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.