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Finding the Fourth Proportional to 69.05, 102.97 and 68.45

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Solution

The fourth proportional to 69.05, 102.97 and 68.45 is: 102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.05 : 102.97 = 68.45 : x
  2. Step 2: Convert to fraction form
    69.05/102.97 = 68.45/x
  3. Step 3: Cross multiply
    69.05x = 102.97 × 68.45
  4. Step 4: Simplify right side
    69.05x = 7,048.30
  5. Step 5: Solve for x
    x = 7,048.30/69.05
  6. Step 6: Final answer
    x = 102.08

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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.