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Finding the Fourth Proportional to 22.84, 31.47 and 21.44

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Solution

The fourth proportional to 22.84, 31.47 and 21.44 is: 29.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.84 : 31.47 = 21.44 : x
  2. Step 2: Convert to fraction form
    22.84/31.47 = 21.44/x
  3. Step 3: Cross multiply
    22.84x = 31.47 × 21.44
  4. Step 4: Simplify right side
    22.84x = 674.72
  5. Step 5: Solve for x
    x = 674.72/22.84
  6. Step 6: Final answer
    x = 29.54

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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.