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Finding the Fourth Proportional to 105.27, 145.12 and 81.92

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Solution

The fourth proportional to 105.27, 145.12 and 81.92 is: 112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.27 : 145.12 = 81.92 : x
  2. Step 2: Convert to fraction form
    105.27/145.12 = 81.92/x
  3. Step 3: Cross multiply
    105.27x = 145.12 × 81.92
  4. Step 4: Simplify right side
    105.27x = 11,887.50
  5. Step 5: Solve for x
    x = 11,887.50/105.27
  6. Step 6: Final answer
    x = 112.92

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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.