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Finding the Fourth Proportional to 4.06, 6.09 and 1.20

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Solution

The fourth proportional to 4.06, 6.09 and 1.20 is: 1.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.06 : 6.09 = 1.20 : x
  2. Step 2: Convert to fraction form
    4.06/6.09 = 1.20/x
  3. Step 3: Cross multiply
    4.06x = 6.09 × 1.20
  4. Step 4: Simplify right side
    4.06x = 7.34
  5. Step 5: Solve for x
    x = 7.34/4.06
  6. Step 6: Final answer
    x = 1.81

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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.