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Finding the Fourth Proportional to 105.97, 146.27 and 71.03

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Solution

The fourth proportional to 105.97, 146.27 and 71.03 is: 98.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.97 : 146.27 = 71.03 : x
  2. Step 2: Convert to fraction form
    105.97/146.27 = 71.03/x
  3. Step 3: Cross multiply
    105.97x = 146.27 × 71.03
  4. Step 4: Simplify right side
    105.97x = 10,388.47
  5. Step 5: Solve for x
    x = 10,388.47/105.97
  6. Step 6: Final answer
    x = 98.04

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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.