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Finding the Fourth Proportional to 68.11, 101.86 and 64.97

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Solution

The fourth proportional to 68.11, 101.86 and 64.97 is: 97.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.11 : 101.86 = 64.97 : x
  2. Step 2: Convert to fraction form
    68.11/101.86 = 64.97/x
  3. Step 3: Cross multiply
    68.11x = 101.86 × 64.97
  4. Step 4: Simplify right side
    68.11x = 6,617.55
  5. Step 5: Solve for x
    x = 6,617.55/68.11
  6. Step 6: Final answer
    x = 97.16

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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.