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Finding the Fourth Proportional to 105.82, 158.60 and 60.19

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Solution

The fourth proportional to 105.82, 158.60 and 60.19 is: 90.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 158.60 = 60.19 : x
  2. Step 2: Convert to fraction form
    105.82/158.60 = 60.19/x
  3. Step 3: Cross multiply
    105.82x = 158.60 × 60.19
  4. Step 4: Simplify right side
    105.82x = 9,545.04
  5. Step 5: Solve for x
    x = 9,545.04/105.82
  6. Step 6: Final answer
    x = 90.20

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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.