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Finding the Fourth Proportional to 105.09, 144.86 and 73.92

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Solution

The fourth proportional to 105.09, 144.86 and 73.92 is: 101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 144.86 = 73.92 : x
  2. Step 2: Convert to fraction form
    105.09/144.86 = 73.92/x
  3. Step 3: Cross multiply
    105.09x = 144.86 × 73.92
  4. Step 4: Simplify right side
    105.09x = 10,706.96
  5. Step 5: Solve for x
    x = 10,706.96/105.09
  6. Step 6: Final answer
    x = 101.89

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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.