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Finding the Fourth Proportional to 59.95, 82.83 and 38.17

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Solution

The fourth proportional to 59.95, 82.83 and 38.17 is: 52.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.95 : 82.83 = 38.17 : x
  2. Step 2: Convert to fraction form
    59.95/82.83 = 38.17/x
  3. Step 3: Cross multiply
    59.95x = 82.83 × 38.17
  4. Step 4: Simplify right side
    59.95x = 3,161.62
  5. Step 5: Solve for x
    x = 3,161.62/59.95
  6. Step 6: Final answer
    x = 52.74

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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.