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Finding the Fourth Proportional to 109.75, 164.62 and 32.71

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Solution

The fourth proportional to 109.75, 164.62 and 32.71 is: 49.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 164.62 = 32.71 : x
  2. Step 2: Convert to fraction form
    109.75/164.62 = 32.71/x
  3. Step 3: Cross multiply
    109.75x = 164.62 × 32.71
  4. Step 4: Simplify right side
    109.75x = 5,384.63
  5. Step 5: Solve for x
    x = 5,384.63/109.75
  6. Step 6: Final answer
    x = 49.06

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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.