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Finding the Fourth Proportional to 3.36, 4.64 and 2.14

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Solution

The fourth proportional to 3.36, 4.64 and 2.14 is: 2.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.36 : 4.64 = 2.14 : x
  2. Step 2: Convert to fraction form
    3.36/4.64 = 2.14/x
  3. Step 3: Cross multiply
    3.36x = 4.64 × 2.14
  4. Step 4: Simplify right side
    3.36x = 9.93
  5. Step 5: Solve for x
    x = 9.93/3.36
  6. Step 6: Final answer
    x = 2.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.