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Finding the Fourth Proportional to 212.68, 319.03 and 75.68

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Solution

The fourth proportional to 212.68, 319.03 and 75.68 is: 113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.68 : 319.03 = 75.68 : x
  2. Step 2: Convert to fraction form
    212.68/319.03 = 75.68/x
  3. Step 3: Cross multiply
    212.68x = 319.03 × 75.68
  4. Step 4: Simplify right side
    212.68x = 24,142.41
  5. Step 5: Solve for x
    x = 24,142.41/212.68
  6. Step 6: Final answer
    x = 113.52

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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.