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Finding the Fourth Proportional to 79.75, 119.52 and 34.03

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Solution

The fourth proportional to 79.75, 119.52 and 34.03 is: 51.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.75 : 119.52 = 34.03 : x
  2. Step 2: Convert to fraction form
    79.75/119.52 = 34.03/x
  3. Step 3: Cross multiply
    79.75x = 119.52 × 34.03
  4. Step 4: Simplify right side
    79.75x = 4,067.27
  5. Step 5: Solve for x
    x = 4,067.27/79.75
  6. Step 6: Final answer
    x = 51.00

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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.