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Finding the Fourth Proportional to 96, 132.56 and 64.96

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Solution

The fourth proportional to 96, 132.56 and 64.96 is: 89.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 132.56 = 64.96 : x
  2. Step 2: Convert to fraction form
    96/132.56 = 64.96/x
  3. Step 3: Cross multiply
    96x = 132.56 × 64.96
  4. Step 4: Simplify right side
    96x = 8,611.10
  5. Step 5: Solve for x
    x = 8,611.10/96
  6. Step 6: Final answer
    x = 89.70

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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.