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Finding the Fourth Proportional to 79.43, 119.22 and 45.23

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Solution

The fourth proportional to 79.43, 119.22 and 45.23 is: 67.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.43 : 119.22 = 45.23 : x
  2. Step 2: Convert to fraction form
    79.43/119.22 = 45.23/x
  3. Step 3: Cross multiply
    79.43x = 119.22 × 45.23
  4. Step 4: Simplify right side
    79.43x = 5,391.72
  5. Step 5: Solve for x
    x = 5,391.72/79.43
  6. Step 6: Final answer
    x = 67.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.