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Finding the Fourth Proportional to 10.67, 15.96 and 8.64

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Solution

The fourth proportional to 10.67, 15.96 and 8.64 is: 12.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.67 : 15.96 = 8.64 : x
  2. Step 2: Convert to fraction form
    10.67/15.96 = 8.64/x
  3. Step 3: Cross multiply
    10.67x = 15.96 × 8.64
  4. Step 4: Simplify right side
    10.67x = 137.93
  5. Step 5: Solve for x
    x = 137.93/10.67
  6. Step 6: Final answer
    x = 12.93

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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.