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Finding the Fourth Proportional to 7.96, 11.93 and 1.94

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Solution

The fourth proportional to 7.96, 11.93 and 1.94 is: 2.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.96 : 11.93 = 1.94 : x
  2. Step 2: Convert to fraction form
    7.96/11.93 = 1.94/x
  3. Step 3: Cross multiply
    7.96x = 11.93 × 1.94
  4. Step 4: Simplify right side
    7.96x = 23.20
  5. Step 5: Solve for x
    x = 23.20/7.96
  6. Step 6: Final answer
    x = 2.92

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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.