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Finding the Fourth Proportional to 62.37, 86.06 and 36.14

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Solution

The fourth proportional to 62.37, 86.06 and 36.14 is: 49.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.37 : 86.06 = 36.14 : x
  2. Step 2: Convert to fraction form
    62.37/86.06 = 36.14/x
  3. Step 3: Cross multiply
    62.37x = 86.06 × 36.14
  4. Step 4: Simplify right side
    62.37x = 3,109.87
  5. Step 5: Solve for x
    x = 3,109.87/62.37
  6. Step 6: Final answer
    x = 49.86

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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.