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Finding the Fourth Proportional to 12.19, 18.26 and 9.64

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Solution

The fourth proportional to 12.19, 18.26 and 9.64 is: 14.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.19 : 18.26 = 9.64 : x
  2. Step 2: Convert to fraction form
    12.19/18.26 = 9.64/x
  3. Step 3: Cross multiply
    12.19x = 18.26 × 9.64
  4. Step 4: Simplify right side
    12.19x = 176.13
  5. Step 5: Solve for x
    x = 176.13/12.19
  6. Step 6: Final answer
    x = 14.45

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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.