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Finding the Fourth Proportional to 2.91, 3.99 and 2.70

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Solution

The fourth proportional to 2.91, 3.99 and 2.70 is: 3.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.91 : 3.99 = 2.70 : x
  2. Step 2: Convert to fraction form
    2.91/3.99 = 2.70/x
  3. Step 3: Cross multiply
    2.91x = 3.99 × 2.70
  4. Step 4: Simplify right side
    2.91x = 10.77
  5. Step 5: Solve for x
    x = 10.77/2.91
  6. Step 6: Final answer
    x = 3.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.