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Finding the Fourth Proportional to 13.05, 19.64 and 9.69

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Solution

The fourth proportional to 13.05, 19.64 and 9.69 is: 14.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.05 : 19.64 = 9.69 : x
  2. Step 2: Convert to fraction form
    13.05/19.64 = 9.69/x
  3. Step 3: Cross multiply
    13.05x = 19.64 × 9.69
  4. Step 4: Simplify right side
    13.05x = 190.21
  5. Step 5: Solve for x
    x = 190.21/13.05
  6. Step 6: Final answer
    x = 14.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.