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Finding the Fourth Proportional to 70.85, 97.20 and 67.41

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Solution

The fourth proportional to 70.85, 97.20 and 67.41 is: 92.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.85 : 97.20 = 67.41 : x
  2. Step 2: Convert to fraction form
    70.85/97.20 = 67.41/x
  3. Step 3: Cross multiply
    70.85x = 97.20 × 67.41
  4. Step 4: Simplify right side
    70.85x = 6,552.50
  5. Step 5: Solve for x
    x = 6,552.50/70.85
  6. Step 6: Final answer
    x = 92.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.