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Finding the Fourth Proportional to 2.97, 4.46 and 1.19

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Solution

The fourth proportional to 2.97, 4.46 and 1.19 is: 1.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.97 : 4.46 = 1.19 : x
  2. Step 2: Convert to fraction form
    2.97/4.46 = 1.19/x
  3. Step 3: Cross multiply
    2.97x = 4.46 × 1.19
  4. Step 4: Simplify right side
    2.97x = 5.30
  5. Step 5: Solve for x
    x = 5.30/2.97
  6. Step 6: Final answer
    x = 1.79

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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.