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Finding the Fourth Proportional to 105.09, 144.93 and 73.59

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Solution

The fourth proportional to 105.09, 144.93 and 73.59 is: 101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 144.93 = 73.59 : x
  2. Step 2: Convert to fraction form
    105.09/144.93 = 73.59/x
  3. Step 3: Cross multiply
    105.09x = 144.93 × 73.59
  4. Step 4: Simplify right side
    105.09x = 10,665.40
  5. Step 5: Solve for x
    x = 10,665.40/105.09
  6. Step 6: Final answer
    x = 101.49

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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.