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Finding the Fourth Proportional to 59.91, 82.67 and 34.04

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Solution

The fourth proportional to 59.91, 82.67 and 34.04 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.91 : 82.67 = 34.04 : x
  2. Step 2: Convert to fraction form
    59.91/82.67 = 34.04/x
  3. Step 3: Cross multiply
    59.91x = 82.67 × 34.04
  4. Step 4: Simplify right side
    59.91x = 2,813.76
  5. Step 5: Solve for x
    x = 2,813.76/59.91
  6. Step 6: Final answer
    x = 46.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.