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Finding the Fourth Proportional to 96.21, 132.78 and 65.19

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Solution

The fourth proportional to 96.21, 132.78 and 65.19 is: 89.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.21 : 132.78 = 65.19 : x
  2. Step 2: Convert to fraction form
    96.21/132.78 = 65.19/x
  3. Step 3: Cross multiply
    96.21x = 132.78 × 65.19
  4. Step 4: Simplify right side
    96.21x = 8,656.44
  5. Step 5: Solve for x
    x = 8,656.44/96.21
  6. Step 6: Final answer
    x = 89.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.