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Finding the Fourth Proportional to 105.97, 146.08 and 73.16

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Solution

The fourth proportional to 105.97, 146.08 and 73.16 is: 100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.97 : 146.08 = 73.16 : x
  2. Step 2: Convert to fraction form
    105.97/146.08 = 73.16/x
  3. Step 3: Cross multiply
    105.97x = 146.08 × 73.16
  4. Step 4: Simplify right side
    105.97x = 10,687.21
  5. Step 5: Solve for x
    x = 10,687.21/105.97
  6. Step 6: Final answer
    x = 100.85

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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.