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Finding the Fourth Proportional to 2.29, 3.42 and 2.06

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Solution

The fourth proportional to 2.29, 3.42 and 2.06 is: 3.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.29 : 3.42 = 2.06 : x
  2. Step 2: Convert to fraction form
    2.29/3.42 = 2.06/x
  3. Step 3: Cross multiply
    2.29x = 3.42 × 2.06
  4. Step 4: Simplify right side
    2.29x = 7.05
  5. Step 5: Solve for x
    x = 7.05/2.29
  6. Step 6: Final answer
    x = 3.08

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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.