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Finding the Fourth Proportional to 106.67, 146.97 and 81.74

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Solution

The fourth proportional to 106.67, 146.97 and 81.74 is: 112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.67 : 146.97 = 81.74 : x
  2. Step 2: Convert to fraction form
    106.67/146.97 = 81.74/x
  3. Step 3: Cross multiply
    106.67x = 146.97 × 81.74
  4. Step 4: Simplify right side
    106.67x = 12,012.59
  5. Step 5: Solve for x
    x = 12,012.59/106.67
  6. Step 6: Final answer
    x = 112.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.