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Finding the Fourth Proportional to 105.52, 158.17 and 73.39

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Solution

The fourth proportional to 105.52, 158.17 and 73.39 is: 110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.52 : 158.17 = 73.39 : x
  2. Step 2: Convert to fraction form
    105.52/158.17 = 73.39/x
  3. Step 3: Cross multiply
    105.52x = 158.17 × 73.39
  4. Step 4: Simplify right side
    105.52x = 11,608.10
  5. Step 5: Solve for x
    x = 11,608.10/105.52
  6. Step 6: Final answer
    x = 110.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.