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Finding the Fourth Proportional to 142.59, 196.86 and 96.04

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Solution

The fourth proportional to 142.59, 196.86 and 96.04 is: 132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.59 : 196.86 = 96.04 : x
  2. Step 2: Convert to fraction form
    142.59/196.86 = 96.04/x
  3. Step 3: Cross multiply
    142.59x = 196.86 × 96.04
  4. Step 4: Simplify right side
    142.59x = 18,906.43
  5. Step 5: Solve for x
    x = 18,906.43/142.59
  6. Step 6: Final answer
    x = 132.59

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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.