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Finding the Fourth Proportional to 68.12, 102.14 and 33.86

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Solution

The fourth proportional to 68.12, 102.14 and 33.86 is: 50.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.12 : 102.14 = 33.86 : x
  2. Step 2: Convert to fraction form
    68.12/102.14 = 33.86/x
  3. Step 3: Cross multiply
    68.12x = 102.14 × 33.86
  4. Step 4: Simplify right side
    68.12x = 3,458.46
  5. Step 5: Solve for x
    x = 3,458.46/68.12
  6. Step 6: Final answer
    x = 50.77

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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.