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Finding the Fourth Proportional to 79.75, 119.71 and 34.12

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Solution

The fourth proportional to 79.75, 119.71 and 34.12 is: 51.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.75 : 119.71 = 34.12 : x
  2. Step 2: Convert to fraction form
    79.75/119.71 = 34.12/x
  3. Step 3: Cross multiply
    79.75x = 119.71 × 34.12
  4. Step 4: Simplify right side
    79.75x = 4,084.51
  5. Step 5: Solve for x
    x = 4,084.51/79.75
  6. Step 6: Final answer
    x = 51.22

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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.