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Finding the Fourth Proportional to 33.16, 45.77 and 20.22

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Solution

The fourth proportional to 33.16, 45.77 and 20.22 is: 27.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.16 : 45.77 = 20.22 : x
  2. Step 2: Convert to fraction form
    33.16/45.77 = 20.22/x
  3. Step 3: Cross multiply
    33.16x = 45.77 × 20.22
  4. Step 4: Simplify right side
    33.16x = 925.14
  5. Step 5: Solve for x
    x = 925.14/33.16
  6. Step 6: Final answer
    x = 27.90

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Why These Related Problems?

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