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Finding the Fourth Proportional to 3.06, 4.60 and 1.88

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Solution

The fourth proportional to 3.06, 4.60 and 1.88 is: 2.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.06 : 4.60 = 1.88 : x
  2. Step 2: Convert to fraction form
    3.06/4.60 = 1.88/x
  3. Step 3: Cross multiply
    3.06x = 4.60 × 1.88
  4. Step 4: Simplify right side
    3.06x = 8.65
  5. Step 5: Solve for x
    x = 8.65/3.06
  6. Step 6: Final answer
    x = 2.83

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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.