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Finding the Fourth Proportional to 70.38, 97.23 and 67.20

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Solution

The fourth proportional to 70.38, 97.23 and 67.20 is: 92.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.38 : 97.23 = 67.20 : x
  2. Step 2: Convert to fraction form
    70.38/97.23 = 67.20/x
  3. Step 3: Cross multiply
    70.38x = 97.23 × 67.20
  4. Step 4: Simplify right side
    70.38x = 6,533.86
  5. Step 5: Solve for x
    x = 6,533.86/70.38
  6. Step 6: Final answer
    x = 92.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.