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Finding the Fourth Proportional to 22.64, 31.20 and 16.49

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Solution

The fourth proportional to 22.64, 31.20 and 16.49 is: 22.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.64 : 31.20 = 16.49 : x
  2. Step 2: Convert to fraction form
    22.64/31.20 = 16.49/x
  3. Step 3: Cross multiply
    22.64x = 31.20 × 16.49
  4. Step 4: Simplify right side
    22.64x = 514.50
  5. Step 5: Solve for x
    x = 514.50/22.64
  6. Step 6: Final answer
    x = 22.73

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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.