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Finding the Fourth Proportional to 39.82, 59.68 and 22.69

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Solution

The fourth proportional to 39.82, 59.68 and 22.69 is: 34.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.82 : 59.68 = 22.69 : x
  2. Step 2: Convert to fraction form
    39.82/59.68 = 22.69/x
  3. Step 3: Cross multiply
    39.82x = 59.68 × 22.69
  4. Step 4: Simplify right side
    39.82x = 1,354.14
  5. Step 5: Solve for x
    x = 1,354.14/39.82
  6. Step 6: Final answer
    x = 34.01

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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.