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Finding the Fourth Proportional to 212.42, 318.64 and 68.13

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Solution

The fourth proportional to 212.42, 318.64 and 68.13 is: 102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.42 : 318.64 = 68.13 : x
  2. Step 2: Convert to fraction form
    212.42/318.64 = 68.13/x
  3. Step 3: Cross multiply
    212.42x = 318.64 × 68.13
  4. Step 4: Simplify right side
    212.42x = 21,708.94
  5. Step 5: Solve for x
    x = 21,708.94/212.42
  6. Step 6: Final answer
    x = 102.20

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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.