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Finding the Fourth Proportional to 142.56, 196.81 and 96.18

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Solution

The fourth proportional to 142.56, 196.81 and 96.18 is: 132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.56 : 196.81 = 96.18 : x
  2. Step 2: Convert to fraction form
    142.56/196.81 = 96.18/x
  3. Step 3: Cross multiply
    142.56x = 196.81 × 96.18
  4. Step 4: Simplify right side
    142.56x = 18,927.72
  5. Step 5: Solve for x
    x = 18,927.72/142.56
  6. Step 6: Final answer
    x = 132.77

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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.