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Finding the Fourth Proportional to 96.56, 144.57 and 67.64

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Solution

The fourth proportional to 96.56, 144.57 and 67.64 is: 101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.56 : 144.57 = 67.64 : x
  2. Step 2: Convert to fraction form
    96.56/144.57 = 67.64/x
  3. Step 3: Cross multiply
    96.56x = 144.57 × 67.64
  4. Step 4: Simplify right side
    96.56x = 9,778.71
  5. Step 5: Solve for x
    x = 9,778.71/96.56
  6. Step 6: Final answer
    x = 101.27

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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.