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Finding the Fourth Proportional to 105.26, 158.72 and 93.38

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Solution

The fourth proportional to 105.26, 158.72 and 93.38 is: 140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.26 : 158.72 = 93.38 : x
  2. Step 2: Convert to fraction form
    105.26/158.72 = 93.38/x
  3. Step 3: Cross multiply
    105.26x = 158.72 × 93.38
  4. Step 4: Simplify right side
    105.26x = 14,821.27
  5. Step 5: Solve for x
    x = 14,821.27/105.26
  6. Step 6: Final answer
    x = 140.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.