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Finding the Fourth Proportional to 109.68, 164.64 and 102.96

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Solution

The fourth proportional to 109.68, 164.64 and 102.96 is: 154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.68 : 164.64 = 102.96 : x
  2. Step 2: Convert to fraction form
    109.68/164.64 = 102.96/x
  3. Step 3: Cross multiply
    109.68x = 164.64 × 102.96
  4. Step 4: Simplify right side
    109.68x = 16,951.33
  5. Step 5: Solve for x
    x = 16,951.33/109.68
  6. Step 6: Final answer
    x = 154.55

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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.