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Finding the Fourth Proportional to 70.34, 104.75 and 67.94

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Solution

The fourth proportional to 70.34, 104.75 and 67.94 is: 101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.34 : 104.75 = 67.94 : x
  2. Step 2: Convert to fraction form
    70.34/104.75 = 67.94/x
  3. Step 3: Cross multiply
    70.34x = 104.75 × 67.94
  4. Step 4: Simplify right side
    70.34x = 7,115.85
  5. Step 5: Solve for x
    x = 7,115.85/70.34
  6. Step 6: Final answer
    x = 101.17

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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.