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Finding the Fourth Proportional to 4.95, 6.82 and 3.42

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Solution

The fourth proportional to 4.95, 6.82 and 3.42 is: 4.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.95 : 6.82 = 3.42 : x
  2. Step 2: Convert to fraction form
    4.95/6.82 = 3.42/x
  3. Step 3: Cross multiply
    4.95x = 6.82 × 3.42
  4. Step 4: Simplify right side
    4.95x = 23.29
  5. Step 5: Solve for x
    x = 23.29/4.95
  6. Step 6: Final answer
    x = 4.71

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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.