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Finding the Fourth Proportional to 222.21, 333.32 and 68.14

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Solution

The fourth proportional to 222.21, 333.32 and 68.14 is: 102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.21 : 333.32 = 68.14 : x
  2. Step 2: Convert to fraction form
    222.21/333.32 = 68.14/x
  3. Step 3: Cross multiply
    222.21x = 333.32 × 68.14
  4. Step 4: Simplify right side
    222.21x = 22,712.42
  5. Step 5: Solve for x
    x = 22,712.42/222.21
  6. Step 6: Final answer
    x = 102.21

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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.