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Finding the Fourth Proportional to 59.40, 81.94 and 36.09

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Solution

The fourth proportional to 59.40, 81.94 and 36.09 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.40 : 81.94 = 36.09 : x
  2. Step 2: Convert to fraction form
    59.40/81.94 = 36.09/x
  3. Step 3: Cross multiply
    59.40x = 81.94 × 36.09
  4. Step 4: Simplify right side
    59.40x = 2,957.21
  5. Step 5: Solve for x
    x = 2,957.21/59.40
  6. Step 6: Final answer
    x = 49.78

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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.