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Finding the Fourth Proportional to 68.22, 102.34 and 20.14

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Solution

The fourth proportional to 68.22, 102.34 and 20.14 is: 30.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.22 : 102.34 = 20.14 : x
  2. Step 2: Convert to fraction form
    68.22/102.34 = 20.14/x
  3. Step 3: Cross multiply
    68.22x = 102.34 × 20.14
  4. Step 4: Simplify right side
    68.22x = 2,061.13
  5. Step 5: Solve for x
    x = 2,061.13/68.22
  6. Step 6: Final answer
    x = 30.21

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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.