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Finding the Fourth Proportional to 59.43, 82.00 and 41.95

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Solution

The fourth proportional to 59.43, 82.00 and 41.95 is: 57.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.43 : 82.00 = 41.95 : x
  2. Step 2: Convert to fraction form
    59.43/82.00 = 41.95/x
  3. Step 3: Cross multiply
    59.43x = 82.00 × 41.95
  4. Step 4: Simplify right side
    59.43x = 3,439.28
  5. Step 5: Solve for x
    x = 3,439.28/59.43
  6. Step 6: Final answer
    x = 57.87

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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.