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Finding the Fourth Proportional to 6.33, 8.71 and 6.04

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Solution

The fourth proportional to 6.33, 8.71 and 6.04 is: 8.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.33 : 8.71 = 6.04 : x
  2. Step 2: Convert to fraction form
    6.33/8.71 = 6.04/x
  3. Step 3: Cross multiply
    6.33x = 8.71 × 6.04
  4. Step 4: Simplify right side
    6.33x = 52.61
  5. Step 5: Solve for x
    x = 52.61/6.33
  6. Step 6: Final answer
    x = 8.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.