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Finding the Fourth Proportional to 12.99, 19.41 and 10.42

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Solution

The fourth proportional to 12.99, 19.41 and 10.42 is: 15.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.99 : 19.41 = 10.42 : x
  2. Step 2: Convert to fraction form
    12.99/19.41 = 10.42/x
  3. Step 3: Cross multiply
    12.99x = 19.41 × 10.42
  4. Step 4: Simplify right side
    12.99x = 202.23
  5. Step 5: Solve for x
    x = 202.23/12.99
  6. Step 6: Final answer
    x = 15.57

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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.