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Finding the Fourth Proportional to 96.01, 132.42 and 57.19

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Solution

The fourth proportional to 96.01, 132.42 and 57.19 is: 78.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.01 : 132.42 = 57.19 : x
  2. Step 2: Convert to fraction form
    96.01/132.42 = 57.19/x
  3. Step 3: Cross multiply
    96.01x = 132.42 × 57.19
  4. Step 4: Simplify right side
    96.01x = 7,573.10
  5. Step 5: Solve for x
    x = 7,573.10/96.01
  6. Step 6: Final answer
    x = 78.88

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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.