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Finding the Fourth Proportional to 12.96, 19.37 and 8.40

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Solution

The fourth proportional to 12.96, 19.37 and 8.40 is: 12.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.96 : 19.37 = 8.40 : x
  2. Step 2: Convert to fraction form
    12.96/19.37 = 8.40/x
  3. Step 3: Cross multiply
    12.96x = 19.37 × 8.40
  4. Step 4: Simplify right side
    12.96x = 162.80
  5. Step 5: Solve for x
    x = 162.80/12.96
  6. Step 6: Final answer
    x = 12.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.