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Finding the Fourth Proportional to 96.56, 144.85 and 64.27

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Solution

The fourth proportional to 96.56, 144.85 and 64.27 is: 96.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.56 : 144.85 = 64.27 : x
  2. Step 2: Convert to fraction form
    96.56/144.85 = 64.27/x
  3. Step 3: Cross multiply
    96.56x = 144.85 × 64.27
  4. Step 4: Simplify right side
    96.56x = 9,309.51
  5. Step 5: Solve for x
    x = 9,309.51/96.56
  6. Step 6: Final answer
    x = 96.41

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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.