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Finding the Fourth Proportional to 33, 49.53 and 20.17

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Solution

The fourth proportional to 33, 49.53 and 20.17 is: 30.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33 : 49.53 = 20.17 : x
  2. Step 2: Convert to fraction form
    33/49.53 = 20.17/x
  3. Step 3: Cross multiply
    33x = 49.53 × 20.17
  4. Step 4: Simplify right side
    33x = 999.02
  5. Step 5: Solve for x
    x = 999.02/33
  6. Step 6: Final answer
    x = 30.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.