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Finding the Fourth Proportional to 18.50, 27.72 and 14.22

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Solution

The fourth proportional to 18.50, 27.72 and 14.22 is: 21.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.50 : 27.72 = 14.22 : x
  2. Step 2: Convert to fraction form
    18.50/27.72 = 14.22/x
  3. Step 3: Cross multiply
    18.50x = 27.72 × 14.22
  4. Step 4: Simplify right side
    18.50x = 394.18
  5. Step 5: Solve for x
    x = 394.18/18.50
  6. Step 6: Final answer
    x = 21.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.