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Finding the Fourth Proportional to 6.13, 8.42 and 6.04

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Solution

The fourth proportional to 6.13, 8.42 and 6.04 is: 8.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.13 : 8.42 = 6.04 : x
  2. Step 2: Convert to fraction form
    6.13/8.42 = 6.04/x
  3. Step 3: Cross multiply
    6.13x = 8.42 × 6.04
  4. Step 4: Simplify right side
    6.13x = 50.86
  5. Step 5: Solve for x
    x = 50.86/6.13
  6. Step 6: Final answer
    x = 8.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.