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Finding the Fourth Proportional to 106.21, 146.64 and 81.82

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Solution

The fourth proportional to 106.21, 146.64 and 81.82 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.21 : 146.64 = 81.82 : x
  2. Step 2: Convert to fraction form
    106.21/146.64 = 81.82/x
  3. Step 3: Cross multiply
    106.21x = 146.64 × 81.82
  4. Step 4: Simplify right side
    106.21x = 11,998.08
  5. Step 5: Solve for x
    x = 11,998.08/106.21
  6. Step 6: Final answer
    x = 112.97

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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.