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Finding the Fourth Proportional to 105.97, 146.01 and 73.18

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Solution

The fourth proportional to 105.97, 146.01 and 73.18 is: 100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.97 : 146.01 = 73.18 : x
  2. Step 2: Convert to fraction form
    105.97/146.01 = 73.18/x
  3. Step 3: Cross multiply
    105.97x = 146.01 × 73.18
  4. Step 4: Simplify right side
    105.97x = 10,685.01
  5. Step 5: Solve for x
    x = 10,685.01/105.97
  6. Step 6: Final answer
    x = 100.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.