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Finding the Fourth Proportional to 68.09, 102.14 and 29.57

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Solution

The fourth proportional to 68.09, 102.14 and 29.57 is: 44.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.09 : 102.14 = 29.57 : x
  2. Step 2: Convert to fraction form
    68.09/102.14 = 29.57/x
  3. Step 3: Cross multiply
    68.09x = 102.14 × 29.57
  4. Step 4: Simplify right side
    68.09x = 3,020.28
  5. Step 5: Solve for x
    x = 3,020.28/68.09
  6. Step 6: Final answer
    x = 44.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.