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Finding the Fourth Proportional to 22.70, 31.34 and 16.24

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Solution

The fourth proportional to 22.70, 31.34 and 16.24 is: 22.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.70 : 31.34 = 16.24 : x
  2. Step 2: Convert to fraction form
    22.70/31.34 = 16.24/x
  3. Step 3: Cross multiply
    22.70x = 31.34 × 16.24
  4. Step 4: Simplify right side
    22.70x = 508.96
  5. Step 5: Solve for x
    x = 508.96/22.70
  6. Step 6: Final answer
    x = 22.42

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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.