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Finding the Fourth Proportional to 12.92, 19.34 and 8.64

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Solution

The fourth proportional to 12.92, 19.34 and 8.64 is: 12.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.92 : 19.34 = 8.64 : x
  2. Step 2: Convert to fraction form
    12.92/19.34 = 8.64/x
  3. Step 3: Cross multiply
    12.92x = 19.34 × 8.64
  4. Step 4: Simplify right side
    12.92x = 167.10
  5. Step 5: Solve for x
    x = 167.10/12.92
  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.