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Finding the Fourth Proportional to 96.16, 144.03 and 64

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Solution

The fourth proportional to 96.16, 144.03 and 64 is: 95.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.16 : 144.03 = 64 : x
  2. Step 2: Convert to fraction form
    96.16/144.03 = 64/x
  3. Step 3: Cross multiply
    96.16x = 144.03 × 64
  4. Step 4: Simplify right side
    96.16x = 9,217.92
  5. Step 5: Solve for x
    x = 9,217.92/96.16
  6. Step 6: Final answer
    x = 95.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.