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Finding the Fourth Proportional to 12.37, 17.03 and 10.41

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Solution

The fourth proportional to 12.37, 17.03 and 10.41 is: 14.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.37 : 17.03 = 10.41 : x
  2. Step 2: Convert to fraction form
    12.37/17.03 = 10.41/x
  3. Step 3: Cross multiply
    12.37x = 17.03 × 10.41
  4. Step 4: Simplify right side
    12.37x = 177.23
  5. Step 5: Solve for x
    x = 177.23/12.37
  6. Step 6: Final answer
    x = 14.33

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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.