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Finding the Fourth Proportional to 109.90, 164.87 and 32.85

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Solution

The fourth proportional to 109.90, 164.87 and 32.85 is: 49.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.90 : 164.87 = 32.85 : x
  2. Step 2: Convert to fraction form
    109.90/164.87 = 32.85/x
  3. Step 3: Cross multiply
    109.90x = 164.87 × 32.85
  4. Step 4: Simplify right side
    109.90x = 5,416.22
  5. Step 5: Solve for x
    x = 5,416.22/109.90
  6. Step 6: Final answer
    x = 49.29

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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.