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Finding the Fourth Proportional to 105.82, 146.04 and 73.09

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Solution

The fourth proportional to 105.82, 146.04 and 73.09 is: 100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 146.04 = 73.09 : x
  2. Step 2: Convert to fraction form
    105.82/146.04 = 73.09/x
  3. Step 3: Cross multiply
    105.82x = 146.04 × 73.09
  4. Step 4: Simplify right side
    105.82x = 10,674.06
  5. Step 5: Solve for x
    x = 10,674.06/105.82
  6. Step 6: Final answer
    x = 100.87

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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.