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Finding the Fourth Proportional to 4.00, 6.02 and 3.16

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Solution

The fourth proportional to 4.00, 6.02 and 3.16 is: 4.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.00 : 6.02 = 3.16 : x
  2. Step 2: Convert to fraction form
    4.00/6.02 = 3.16/x
  3. Step 3: Cross multiply
    4.00x = 6.02 × 3.16
  4. Step 4: Simplify right side
    4.00x = 18.98
  5. Step 5: Solve for x
    x = 18.98/4.00
  6. Step 6: Final answer
    x = 4.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.