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Finding the Fourth Proportional to 64.14, 96.17 and 20.79

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Solution

The fourth proportional to 64.14, 96.17 and 20.79 is: 31.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.14 : 96.17 = 20.79 : x
  2. Step 2: Convert to fraction form
    64.14/96.17 = 20.79/x
  3. Step 3: Cross multiply
    64.14x = 96.17 × 20.79
  4. Step 4: Simplify right side
    64.14x = 1,998.79
  5. Step 5: Solve for x
    x = 1,998.79/64.14
  6. Step 6: Final answer
    x = 31.17

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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.