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Finding the Fourth Proportional to 22.46, 31 and 14.27

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Solution

The fourth proportional to 22.46, 31 and 14.27 is: 19.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.46 : 31 = 14.27 : x
  2. Step 2: Convert to fraction form
    22.46/31 = 14.27/x
  3. Step 3: Cross multiply
    22.46x = 31 × 14.27
  4. Step 4: Simplify right side
    22.46x = 442.37
  5. Step 5: Solve for x
    x = 442.37/22.46
  6. Step 6: Final answer
    x = 19.70

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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.