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Finding the Fourth Proportional to 2.70, 4.03 and 2.13

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Solution

The fourth proportional to 2.70, 4.03 and 2.13 is: 3.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.70 : 4.03 = 2.13 : x
  2. Step 2: Convert to fraction form
    2.70/4.03 = 2.13/x
  3. Step 3: Cross multiply
    2.70x = 4.03 × 2.13
  4. Step 4: Simplify right side
    2.70x = 8.61
  5. Step 5: Solve for x
    x = 8.61/2.70
  6. Step 6: Final answer
    x = 3.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.