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Finding the Fourth Proportional to 62.32, 85.98 and 36.09

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Solution

The fourth proportional to 62.32, 85.98 and 36.09 is: 49.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.32 : 85.98 = 36.09 : x
  2. Step 2: Convert to fraction form
    62.32/85.98 = 36.09/x
  3. Step 3: Cross multiply
    62.32x = 85.98 × 36.09
  4. Step 4: Simplify right side
    62.32x = 3,103.02
  5. Step 5: Solve for x
    x = 3,103.02/62.32
  6. Step 6: Final answer
    x = 49.79

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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.