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Finding the Fourth Proportional to 212.09, 317.95 and 75.12

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Solution

The fourth proportional to 212.09, 317.95 and 75.12 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.09 : 317.95 = 75.12 : x
  2. Step 2: Convert to fraction form
    212.09/317.95 = 75.12/x
  3. Step 3: Cross multiply
    212.09x = 317.95 × 75.12
  4. Step 4: Simplify right side
    212.09x = 23,884.80
  5. Step 5: Solve for x
    x = 23,884.80/212.09
  6. Step 6: Final answer
    x = 112.61

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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.