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Finding the Fourth Proportional to 68.13, 102.12 and 29.60

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Solution

The fourth proportional to 68.13, 102.12 and 29.60 is: 44.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.13 : 102.12 = 29.60 : x
  2. Step 2: Convert to fraction form
    68.13/102.12 = 29.60/x
  3. Step 3: Cross multiply
    68.13x = 102.12 × 29.60
  4. Step 4: Simplify right side
    68.13x = 3,023.09
  5. Step 5: Solve for x
    x = 3,023.09/68.13
  6. Step 6: Final answer
    x = 44.37

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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.