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Finding the Fourth Proportional to 59.52, 82.12 and 36.19

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Solution

The fourth proportional to 59.52, 82.12 and 36.19 is: 49.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.52 : 82.12 = 36.19 : x
  2. Step 2: Convert to fraction form
    59.52/82.12 = 36.19/x
  3. Step 3: Cross multiply
    59.52x = 82.12 × 36.19
  4. Step 4: Simplify right side
    59.52x = 2,971.92
  5. Step 5: Solve for x
    x = 2,971.92/59.52
  6. Step 6: Final answer
    x = 49.93

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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.