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Finding the Fourth Proportional to 68.30, 101.96 and 63.74

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Solution

The fourth proportional to 68.30, 101.96 and 63.74 is: 95.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.30 : 101.96 = 63.74 : x
  2. Step 2: Convert to fraction form
    68.30/101.96 = 63.74/x
  3. Step 3: Cross multiply
    68.30x = 101.96 × 63.74
  4. Step 4: Simplify right side
    68.30x = 6,498.93
  5. Step 5: Solve for x
    x = 6,498.93/68.30
  6. Step 6: Final answer
    x = 95.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.