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Finding the Fourth Proportional to 13.10, 18.04 and 9.64

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Solution

The fourth proportional to 13.10, 18.04 and 9.64 is: 13.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.10 : 18.04 = 9.64 : x
  2. Step 2: Convert to fraction form
    13.10/18.04 = 9.64/x
  3. Step 3: Cross multiply
    13.10x = 18.04 × 9.64
  4. Step 4: Simplify right side
    13.10x = 173.91
  5. Step 5: Solve for x
    x = 173.91/13.10
  6. Step 6: Final answer
    x = 13.28

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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.