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Finding the Fourth Proportional to 33.59, 46.33 and 20.48

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Solution

The fourth proportional to 33.59, 46.33 and 20.48 is: 28.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.59 : 46.33 = 20.48 : x
  2. Step 2: Convert to fraction form
    33.59/46.33 = 20.48/x
  3. Step 3: Cross multiply
    33.59x = 46.33 × 20.48
  4. Step 4: Simplify right side
    33.59x = 948.84
  5. Step 5: Solve for x
    x = 948.84/33.59
  6. Step 6: Final answer
    x = 28.25

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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.