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Finding the Fourth Proportional to 1.96, 2.96 and 1.82

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Solution

The fourth proportional to 1.96, 2.96 and 1.82 is: 2.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.96 : 2.96 = 1.82 : x
  2. Step 2: Convert to fraction form
    1.96/2.96 = 1.82/x
  3. Step 3: Cross multiply
    1.96x = 2.96 × 1.82
  4. Step 4: Simplify right side
    1.96x = 5.36
  5. Step 5: Solve for x
    x = 5.36/1.96
  6. Step 6: Final answer
    x = 2.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.