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Finding the Fourth Proportional to 2.52, 3.77 and 2.06

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Solution

The fourth proportional to 2.52, 3.77 and 2.06 is: 3.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.52 : 3.77 = 2.06 : x
  2. Step 2: Convert to fraction form
    2.52/3.77 = 2.06/x
  3. Step 3: Cross multiply
    2.52x = 3.77 × 2.06
  4. Step 4: Simplify right side
    2.52x = 7.77
  5. Step 5: Solve for x
    x = 7.77/2.52
  6. Step 6: Final answer
    x = 3.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.