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Finding the Fourth Proportional to 12.22, 16.88 and 9.64

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Solution

The fourth proportional to 12.22, 16.88 and 9.64 is: 13.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.22 : 16.88 = 9.64 : x
  2. Step 2: Convert to fraction form
    12.22/16.88 = 9.64/x
  3. Step 3: Cross multiply
    12.22x = 16.88 × 9.64
  4. Step 4: Simplify right side
    12.22x = 162.72
  5. Step 5: Solve for x
    x = 162.72/12.22
  6. Step 6: Final answer
    x = 13.32

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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.