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Finding the Fourth Proportional to 62.12, 86.19 and 61.60

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Solution

The fourth proportional to 62.12, 86.19 and 61.60 is: 85.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.12 : 86.19 = 61.60 : x
  2. Step 2: Convert to fraction form
    62.12/86.19 = 61.60/x
  3. Step 3: Cross multiply
    62.12x = 86.19 × 61.60
  4. Step 4: Simplify right side
    62.12x = 5,309.30
  5. Step 5: Solve for x
    x = 5,309.30/62.12
  6. Step 6: Final answer
    x = 85.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.