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Finding the Fourth Proportional to 59.45, 81.99 and 36.14

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Solution

The fourth proportional to 59.45, 81.99 and 36.14 is: 49.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.45 : 81.99 = 36.14 : x
  2. Step 2: Convert to fraction form
    59.45/81.99 = 36.14/x
  3. Step 3: Cross multiply
    59.45x = 81.99 × 36.14
  4. Step 4: Simplify right side
    59.45x = 2,963.12
  5. Step 5: Solve for x
    x = 2,963.12/59.45
  6. Step 6: Final answer
    x = 49.84

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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.