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Finding the Fourth Proportional to 22.94, 31.62 and 20.22

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Solution

The fourth proportional to 22.94, 31.62 and 20.22 is: 27.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.94 : 31.62 = 20.22 : x
  2. Step 2: Convert to fraction form
    22.94/31.62 = 20.22/x
  3. Step 3: Cross multiply
    22.94x = 31.62 × 20.22
  4. Step 4: Simplify right side
    22.94x = 639.36
  5. Step 5: Solve for x
    x = 639.36/22.94
  6. Step 6: Final answer
    x = 27.87

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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.