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Finding the Fourth Proportional to 68.07, 102.12 and 29.55

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Solution

The fourth proportional to 68.07, 102.12 and 29.55 is: 44.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.07 : 102.12 = 29.55 : x
  2. Step 2: Convert to fraction form
    68.07/102.12 = 29.55/x
  3. Step 3: Cross multiply
    68.07x = 102.12 × 29.55
  4. Step 4: Simplify right side
    68.07x = 3,018.03
  5. Step 5: Solve for x
    x = 3,018.03/68.07
  6. Step 6: Final answer
    x = 44.33

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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.