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Finding the Fourth Proportional to 4.29, 6.45 and 2.04

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Solution

The fourth proportional to 4.29, 6.45 and 2.04 is: 3.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.29 : 6.45 = 2.04 : x
  2. Step 2: Convert to fraction form
    4.29/6.45 = 2.04/x
  3. Step 3: Cross multiply
    4.29x = 6.45 × 2.04
  4. Step 4: Simplify right side
    4.29x = 13.12
  5. Step 5: Solve for x
    x = 13.12/4.29
  6. Step 6: Final answer
    x = 3.06

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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.