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Finding the Fourth Proportional to 2.14, 3 and 2.14

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Solution

The fourth proportional to 2.14, 3 and 2.14 is: 3

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 3 = 2.14 : x
  2. Step 2: Convert to fraction form
    2.14/3 = 2.14/x
  3. Step 3: Cross multiply
    2.14x = 3 × 2.14
  4. Step 4: Simplify right side
    2.14x = 6.42
  5. Step 5: Solve for x
    x = 6.42/2.14
  6. Step 6: Final answer
    x = 3

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.