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Finding the Fourth Proportional to 68.96, 103.04 and 51.54

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Solution

The fourth proportional to 68.96, 103.04 and 51.54 is: 77.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.96 : 103.04 = 51.54 : x
  2. Step 2: Convert to fraction form
    68.96/103.04 = 51.54/x
  3. Step 3: Cross multiply
    68.96x = 103.04 × 51.54
  4. Step 4: Simplify right side
    68.96x = 5,310.42
  5. Step 5: Solve for x
    x = 5,310.42/68.96
  6. Step 6: Final answer
    x = 77.01

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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.