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Finding the Fourth Proportional to 68.64, 102.97 and 64.14

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Solution

The fourth proportional to 68.64, 102.97 and 64.14 is: 96.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.64 : 102.97 = 64.14 : x
  2. Step 2: Convert to fraction form
    68.64/102.97 = 64.14/x
  3. Step 3: Cross multiply
    68.64x = 102.97 × 64.14
  4. Step 4: Simplify right side
    68.64x = 6,604.93
  5. Step 5: Solve for x
    x = 6,604.93/68.64
  6. Step 6: Final answer
    x = 96.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.