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Finding the Fourth Proportional to 62.84, 86.68 and 36.96

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Solution

The fourth proportional to 62.84, 86.68 and 36.96 is: 50.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.84 : 86.68 = 36.96 : x
  2. Step 2: Convert to fraction form
    62.84/86.68 = 36.96/x
  3. Step 3: Cross multiply
    62.84x = 86.68 × 36.96
  4. Step 4: Simplify right side
    62.84x = 3,203.69
  5. Step 5: Solve for x
    x = 3,203.69/62.84
  6. Step 6: Final answer
    x = 50.98

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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.