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Finding the Fourth Proportional to 33.10, 45.69 and 20.17

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Solution

The fourth proportional to 33.10, 45.69 and 20.17 is: 27.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.10 : 45.69 = 20.17 : x
  2. Step 2: Convert to fraction form
    33.10/45.69 = 20.17/x
  3. Step 3: Cross multiply
    33.10x = 45.69 × 20.17
  4. Step 4: Simplify right side
    33.10x = 921.57
  5. Step 5: Solve for x
    x = 921.57/33.10
  6. Step 6: Final answer
    x = 27.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.