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Finding the Fourth Proportional to 39.82, 59.68 and 34.66

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Solution

The fourth proportional to 39.82, 59.68 and 34.66 is: 51.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.82 : 59.68 = 34.66 : x
  2. Step 2: Convert to fraction form
    39.82/59.68 = 34.66/x
  3. Step 3: Cross multiply
    39.82x = 59.68 × 34.66
  4. Step 4: Simplify right side
    39.82x = 2,068.62
  5. Step 5: Solve for x
    x = 2,068.62/39.82
  6. Step 6: Final answer
    x = 51.95

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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.