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Finding the Fourth Proportional to 3.35, 5.00 and 3.16

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Solution

The fourth proportional to 3.35, 5.00 and 3.16 is: 4.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.35 : 5.00 = 3.16 : x
  2. Step 2: Convert to fraction form
    3.35/5.00 = 3.16/x
  3. Step 3: Cross multiply
    3.35x = 5.00 × 3.16
  4. Step 4: Simplify right side
    3.35x = 15.80
  5. Step 5: Solve for x
    x = 15.80/3.35
  6. Step 6: Final answer
    x = 4.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.