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Finding the Fourth Proportional to 142.41, 196.43 and 109.30

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Solution

The fourth proportional to 142.41, 196.43 and 109.30 is: 150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.41 : 196.43 = 109.30 : x
  2. Step 2: Convert to fraction form
    142.41/196.43 = 109.30/x
  3. Step 3: Cross multiply
    142.41x = 196.43 × 109.30
  4. Step 4: Simplify right side
    142.41x = 21,469.13
  5. Step 5: Solve for x
    x = 21,469.13/142.41
  6. Step 6: Final answer
    x = 150.76

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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.