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Finding the Fourth Proportional to 109.82, 163.90 and 102.80

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Solution

The fourth proportional to 109.82, 163.90 and 102.80 is: 153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 163.90 = 102.80 : x
  2. Step 2: Convert to fraction form
    109.82/163.90 = 102.80/x
  3. Step 3: Cross multiply
    109.82x = 163.90 × 102.80
  4. Step 4: Simplify right side
    109.82x = 16,848.92
  5. Step 5: Solve for x
    x = 16,848.92/109.82
  6. Step 6: Final answer
    x = 153.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.