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Finding the Fourth Proportional to 18.14, 27.23 and 7.46

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Solution

The fourth proportional to 18.14, 27.23 and 7.46 is: 11.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.14 : 27.23 = 7.46 : x
  2. Step 2: Convert to fraction form
    18.14/27.23 = 7.46/x
  3. Step 3: Cross multiply
    18.14x = 27.23 × 7.46
  4. Step 4: Simplify right side
    18.14x = 203.14
  5. Step 5: Solve for x
    x = 203.14/18.14
  6. Step 6: Final answer
    x = 11.20

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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.