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Finding the Fourth Proportional to 2.51, 3.47 and 2.11

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Solution

The fourth proportional to 2.51, 3.47 and 2.11 is: 2.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.51 : 3.47 = 2.11 : x
  2. Step 2: Convert to fraction form
    2.51/3.47 = 2.11/x
  3. Step 3: Cross multiply
    2.51x = 3.47 × 2.11
  4. Step 4: Simplify right side
    2.51x = 7.30
  5. Step 5: Solve for x
    x = 7.30/2.51
  6. Step 6: Final answer
    x = 2.91

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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.