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Finding the Fourth Proportional to 12, 16.50 and 10.38

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Solution

The fourth proportional to 12, 16.50 and 10.38 is: 14.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12 : 16.50 = 10.38 : x
  2. Step 2: Convert to fraction form
    12/16.50 = 10.38/x
  3. Step 3: Cross multiply
    12x = 16.50 × 10.38
  4. Step 4: Simplify right side
    12x = 171.27
  5. Step 5: Solve for x
    x = 171.27/12
  6. Step 6: Final answer
    x = 14.27

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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.