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Finding the Fourth Proportional to 69.06, 102.30 and 68.94

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Solution

The fourth proportional to 69.06, 102.30 and 68.94 is: 102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 102.30 = 68.94 : x
  2. Step 2: Convert to fraction form
    69.06/102.30 = 68.94/x
  3. Step 3: Cross multiply
    69.06x = 102.30 × 68.94
  4. Step 4: Simplify right side
    69.06x = 7,052.56
  5. Step 5: Solve for x
    x = 7,052.56/69.06
  6. Step 6: Final answer
    x = 102.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.