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Finding the Fourth Proportional to 96.10, 132.42 and 74.20

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Solution

The fourth proportional to 96.10, 132.42 and 74.20 is: 102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.10 : 132.42 = 74.20 : x
  2. Step 2: Convert to fraction form
    96.10/132.42 = 74.20/x
  3. Step 3: Cross multiply
    96.10x = 132.42 × 74.20
  4. Step 4: Simplify right side
    96.10x = 9,825.56
  5. Step 5: Solve for x
    x = 9,825.56/96.10
  6. Step 6: Final answer
    x = 102.24

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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.