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Finding the Fourth Proportional to 13, 19.44 and 9.60

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Solution

The fourth proportional to 13, 19.44 and 9.60 is: 14.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 19.44 = 9.60 : x
  2. Step 2: Convert to fraction form
    13/19.44 = 9.60/x
  3. Step 3: Cross multiply
    13x = 19.44 × 9.60
  4. Step 4: Simplify right side
    13x = 186.62
  5. Step 5: Solve for x
    x = 186.62/13
  6. Step 6: Final answer
    x = 14.36

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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.