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Finding the Fourth Proportional to 212.72, 319.12 and 84.56

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Solution

The fourth proportional to 212.72, 319.12 and 84.56 is: 126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.72 : 319.12 = 84.56 : x
  2. Step 2: Convert to fraction form
    212.72/319.12 = 84.56/x
  3. Step 3: Cross multiply
    212.72x = 319.12 × 84.56
  4. Step 4: Simplify right side
    212.72x = 26,984.79
  5. Step 5: Solve for x
    x = 26,984.79/212.72
  6. Step 6: Final answer
    x = 126.86

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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.