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Finding the Fourth Proportional to 105.31, 144.93 and 81.89

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Solution

The fourth proportional to 105.31, 144.93 and 81.89 is: 112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.31 : 144.93 = 81.89 : x
  2. Step 2: Convert to fraction form
    105.31/144.93 = 81.89/x
  3. Step 3: Cross multiply
    105.31x = 144.93 × 81.89
  4. Step 4: Simplify right side
    105.31x = 11,868.32
  5. Step 5: Solve for x
    x = 11,868.32/105.31
  6. Step 6: Final answer
    x = 112.70

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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.