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Finding the Fourth Proportional to 2.98, 4.06 and 2.97

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Solution

The fourth proportional to 2.98, 4.06 and 2.97 is: 4.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.98 : 4.06 = 2.97 : x
  2. Step 2: Convert to fraction form
    2.98/4.06 = 2.97/x
  3. Step 3: Cross multiply
    2.98x = 4.06 × 2.97
  4. Step 4: Simplify right side
    2.98x = 12.08
  5. Step 5: Solve for x
    x = 12.08/2.98
  6. Step 6: Final answer
    x = 4.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.