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Finding the Fourth Proportional to 18.69, 25.78 and 10.50

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Solution

The fourth proportional to 18.69, 25.78 and 10.50 is: 14.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.69 : 25.78 = 10.50 : x
  2. Step 2: Convert to fraction form
    18.69/25.78 = 10.50/x
  3. Step 3: Cross multiply
    18.69x = 25.78 × 10.50
  4. Step 4: Simplify right side
    18.69x = 270.53
  5. Step 5: Solve for x
    x = 270.53/18.69
  6. Step 6: Final answer
    x = 14.48

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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.