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Finding the Fourth Proportional to 70.05, 104.40 and 68.69

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Solution

The fourth proportional to 70.05, 104.40 and 68.69 is: 102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.05 : 104.40 = 68.69 : x
  2. Step 2: Convert to fraction form
    70.05/104.40 = 68.69/x
  3. Step 3: Cross multiply
    70.05x = 104.40 × 68.69
  4. Step 4: Simplify right side
    70.05x = 7,170.42
  5. Step 5: Solve for x
    x = 7,170.42/70.05
  6. Step 6: Final answer
    x = 102.36

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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.