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Finding the Fourth Proportional to 67.86, 102.31 and 63.60

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Solution

The fourth proportional to 67.86, 102.31 and 63.60 is: 95.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.86 : 102.31 = 63.60 : x
  2. Step 2: Convert to fraction form
    67.86/102.31 = 63.60/x
  3. Step 3: Cross multiply
    67.86x = 102.31 × 63.60
  4. Step 4: Simplify right side
    67.86x = 6,506.60
  5. Step 5: Solve for x
    x = 6,506.60/67.86
  6. Step 6: Final answer
    x = 95.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.