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Finding the Fourth Proportional to 142.96, 196.72 and 105.97

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Solution

The fourth proportional to 142.96, 196.72 and 105.97 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 196.72 = 105.97 : x
  2. Step 2: Convert to fraction form
    142.96/196.72 = 105.97/x
  3. Step 3: Cross multiply
    142.96x = 196.72 × 105.97
  4. Step 4: Simplify right side
    142.96x = 20,846.42
  5. Step 5: Solve for x
    x = 20,846.42/142.96
  6. Step 6: Final answer
    x = 145.82

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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.