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Finding the Fourth Proportional to 62.20, 85.85 and 37.64

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Solution

The fourth proportional to 62.20, 85.85 and 37.64 is: 51.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.20 : 85.85 = 37.64 : x
  2. Step 2: Convert to fraction form
    62.20/85.85 = 37.64/x
  3. Step 3: Cross multiply
    62.20x = 85.85 × 37.64
  4. Step 4: Simplify right side
    62.20x = 3,231.30
  5. Step 5: Solve for x
    x = 3,231.30/62.20
  6. Step 6: Final answer
    x = 51.95

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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.