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Finding the Fourth Proportional to 62.12, 85.71 and 37.55

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Solution

The fourth proportional to 62.12, 85.71 and 37.55 is: 51.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.12 : 85.71 = 37.55 : x
  2. Step 2: Convert to fraction form
    62.12/85.71 = 37.55/x
  3. Step 3: Cross multiply
    62.12x = 85.71 × 37.55
  4. Step 4: Simplify right side
    62.12x = 3,218.41
  5. Step 5: Solve for x
    x = 3,218.41/62.12
  6. Step 6: Final answer
    x = 51.81

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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.