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Finding the Fourth Proportional to 67.66, 102.01 and 63.88

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Solution

The fourth proportional to 67.66, 102.01 and 63.88 is: 96.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.66 : 102.01 = 63.88 : x
  2. Step 2: Convert to fraction form
    67.66/102.01 = 63.88/x
  3. Step 3: Cross multiply
    67.66x = 102.01 × 63.88
  4. Step 4: Simplify right side
    67.66x = 6,516.40
  5. Step 5: Solve for x
    x = 6,516.40/67.66
  6. Step 6: Final answer
    x = 96.31

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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.