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Finding the Fourth Proportional to 12.14, 18.23 and 9.48

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Solution

The fourth proportional to 12.14, 18.23 and 9.48 is: 14.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.14 : 18.23 = 9.48 : x
  2. Step 2: Convert to fraction form
    12.14/18.23 = 9.48/x
  3. Step 3: Cross multiply
    12.14x = 18.23 × 9.48
  4. Step 4: Simplify right side
    12.14x = 172.77
  5. Step 5: Solve for x
    x = 172.77/12.14
  6. Step 6: Final answer
    x = 14.24

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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.