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Finding the Fourth Proportional to 13.95, 19.25 and 7.81

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Solution

The fourth proportional to 13.95, 19.25 and 7.81 is: 10.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.95 : 19.25 = 7.81 : x
  2. Step 2: Convert to fraction form
    13.95/19.25 = 7.81/x
  3. Step 3: Cross multiply
    13.95x = 19.25 × 7.81
  4. Step 4: Simplify right side
    13.95x = 150.28
  5. Step 5: Solve for x
    x = 150.28/13.95
  6. Step 6: Final answer
    x = 10.78

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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.