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Finding the Fourth Proportional to 13.41, 18.50 and 9.78

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Solution

The fourth proportional to 13.41, 18.50 and 9.78 is: 13.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.41 : 18.50 = 9.78 : x
  2. Step 2: Convert to fraction form
    13.41/18.50 = 9.78/x
  3. Step 3: Cross multiply
    13.41x = 18.50 × 9.78
  4. Step 4: Simplify right side
    13.41x = 180.93
  5. Step 5: Solve for x
    x = 180.93/13.41
  6. Step 6: Final answer
    x = 13.49

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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.