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Finding the Fourth Proportional to 68.79, 102.96 and 38.28

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Solution

The fourth proportional to 68.79, 102.96 and 38.28 is: 57.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.79 : 102.96 = 38.28 : x
  2. Step 2: Convert to fraction form
    68.79/102.96 = 38.28/x
  3. Step 3: Cross multiply
    68.79x = 102.96 × 38.28
  4. Step 4: Simplify right side
    68.79x = 3,941.31
  5. Step 5: Solve for x
    x = 3,941.31/68.79
  6. Step 6: Final answer
    x = 57.29

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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.