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Finding the Fourth Proportional to 68.88, 103.24 and 32.27

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Solution

The fourth proportional to 68.88, 103.24 and 32.27 is: 48.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.88 : 103.24 = 32.27 : x
  2. Step 2: Convert to fraction form
    68.88/103.24 = 32.27/x
  3. Step 3: Cross multiply
    68.88x = 103.24 × 32.27
  4. Step 4: Simplify right side
    68.88x = 3,330.96
  5. Step 5: Solve for x
    x = 3,330.96/68.88
  6. Step 6: Final answer
    x = 48.36

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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.