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Finding the Fourth Proportional to 212.09, 317.96 and 83.75

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Solution

The fourth proportional to 212.09, 317.96 and 83.75 is: 125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.09 : 317.96 = 83.75 : x
  2. Step 2: Convert to fraction form
    212.09/317.96 = 83.75/x
  3. Step 3: Cross multiply
    212.09x = 317.96 × 83.75
  4. Step 4: Simplify right side
    212.09x = 26,628.73
  5. Step 5: Solve for x
    x = 26,628.73/212.09
  6. Step 6: Final answer
    x = 125.55

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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.