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Finding the Fourth Proportional to 68.98, 103.54 and 32.92

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Solution

The fourth proportional to 68.98, 103.54 and 32.92 is: 49.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.98 : 103.54 = 32.92 : x
  2. Step 2: Convert to fraction form
    68.98/103.54 = 32.92/x
  3. Step 3: Cross multiply
    68.98x = 103.54 × 32.92
  4. Step 4: Simplify right side
    68.98x = 3,408.54
  5. Step 5: Solve for x
    x = 3,408.54/68.98
  6. Step 6: Final answer
    x = 49.41

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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.