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Finding the Fourth Proportional to 22.63, 31.23 and 16.16

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Solution

The fourth proportional to 22.63, 31.23 and 16.16 is: 22.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.63 : 31.23 = 16.16 : x
  2. Step 2: Convert to fraction form
    22.63/31.23 = 16.16/x
  3. Step 3: Cross multiply
    22.63x = 31.23 × 16.16
  4. Step 4: Simplify right side
    22.63x = 504.60
  5. Step 5: Solve for x
    x = 504.60/22.63
  6. Step 6: Final answer
    x = 22.30

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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.