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Finding the Fourth Proportional to 96.12, 132.48 and 78.66

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Solution

The fourth proportional to 96.12, 132.48 and 78.66 is: 108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.12 : 132.48 = 78.66 : x
  2. Step 2: Convert to fraction form
    96.12/132.48 = 78.66/x
  3. Step 3: Cross multiply
    96.12x = 132.48 × 78.66
  4. Step 4: Simplify right side
    96.12x = 10,420.88
  5. Step 5: Solve for x
    x = 10,420.88/96.12
  6. Step 6: Final answer
    x = 108.42

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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.