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Finding the Fourth Proportional to 132.56, 198.42 and 96.32

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Solution

The fourth proportional to 132.56, 198.42 and 96.32 is: 144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.56 : 198.42 = 96.32 : x
  2. Step 2: Convert to fraction form
    132.56/198.42 = 96.32/x
  3. Step 3: Cross multiply
    132.56x = 198.42 × 96.32
  4. Step 4: Simplify right side
    132.56x = 19,111.81
  5. Step 5: Solve for x
    x = 19,111.81/132.56
  6. Step 6: Final answer
    x = 144.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.