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Finding the Fourth Proportional to 105.49, 146.14 and 102.97

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Solution

The fourth proportional to 105.49, 146.14 and 102.97 is: 142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.49 : 146.14 = 102.97 : x
  2. Step 2: Convert to fraction form
    105.49/146.14 = 102.97/x
  3. Step 3: Cross multiply
    105.49x = 146.14 × 102.97
  4. Step 4: Simplify right side
    105.49x = 15,046.79
  5. Step 5: Solve for x
    x = 15,046.79/105.49
  6. Step 6: Final answer
    x = 142.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.