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Finding the Fourth Proportional to 105.34, 145.42 and 81.97

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Solution

The fourth proportional to 105.34, 145.42 and 81.97 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.34 : 145.42 = 81.97 : x
  2. Step 2: Convert to fraction form
    105.34/145.42 = 81.97/x
  3. Step 3: Cross multiply
    105.34x = 145.42 × 81.97
  4. Step 4: Simplify right side
    105.34x = 11,920.08
  5. Step 5: Solve for x
    x = 11,920.08/105.34
  6. Step 6: Final answer
    x = 113.16

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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.