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Finding the Fourth Proportional to 105.83, 157.89 and 96.09

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Solution

The fourth proportional to 105.83, 157.89 and 96.09 is: 143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 157.89 = 96.09 : x
  2. Step 2: Convert to fraction form
    105.83/157.89 = 96.09/x
  3. Step 3: Cross multiply
    105.83x = 157.89 × 96.09
  4. Step 4: Simplify right side
    105.83x = 15,171.42
  5. Step 5: Solve for x
    x = 15,171.42/105.83
  6. Step 6: Final answer
    x = 143.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.