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Finding the Fourth Proportional to 68.72, 102.34 and 68.24

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Solution

The fourth proportional to 68.72, 102.34 and 68.24 is: 101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.72 : 102.34 = 68.24 : x
  2. Step 2: Convert to fraction form
    68.72/102.34 = 68.24/x
  3. Step 3: Cross multiply
    68.72x = 102.34 × 68.24
  4. Step 4: Simplify right side
    68.72x = 6,983.68
  5. Step 5: Solve for x
    x = 6,983.68/68.72
  6. Step 6: Final answer
    x = 101.63

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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.