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Finding the Fourth Proportional to 68.96, 103.40 and 32.92

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Solution

The fourth proportional to 68.96, 103.40 and 32.92 is: 49.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.96 : 103.40 = 32.92 : x
  2. Step 2: Convert to fraction form
    68.96/103.40 = 32.92/x
  3. Step 3: Cross multiply
    68.96x = 103.40 × 32.92
  4. Step 4: Simplify right side
    68.96x = 3,403.93
  5. Step 5: Solve for x
    x = 3,403.93/68.96
  6. Step 6: Final answer
    x = 49.36

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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.