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Finding the Fourth Proportional to 6.02, 8.25 and 5.88

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Solution

The fourth proportional to 6.02, 8.25 and 5.88 is: 8.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.02 : 8.25 = 5.88 : x
  2. Step 2: Convert to fraction form
    6.02/8.25 = 5.88/x
  3. Step 3: Cross multiply
    6.02x = 8.25 × 5.88
  4. Step 4: Simplify right side
    6.02x = 48.51
  5. Step 5: Solve for x
    x = 48.51/6.02
  6. Step 6: Final answer
    x = 8.06

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Why These Related Problems?

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