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Finding the Fourth Proportional to 22.63, 31.22 and 16.82

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Solution

The fourth proportional to 22.63, 31.22 and 16.82 is: 23.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.63 : 31.22 = 16.82 : x
  2. Step 2: Convert to fraction form
    22.63/31.22 = 16.82/x
  3. Step 3: Cross multiply
    22.63x = 31.22 × 16.82
  4. Step 4: Simplify right side
    22.63x = 525.12
  5. Step 5: Solve for x
    x = 525.12/22.63
  6. Step 6: Final answer
    x = 23.20

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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.