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Finding the Fourth Proportional to 4.69, 6.42 and 4.68

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Solution

The fourth proportional to 4.69, 6.42 and 4.68 is: 6.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.69 : 6.42 = 4.68 : x
  2. Step 2: Convert to fraction form
    4.69/6.42 = 4.68/x
  3. Step 3: Cross multiply
    4.69x = 6.42 × 4.68
  4. Step 4: Simplify right side
    4.69x = 30.05
  5. Step 5: Solve for x
    x = 30.05/4.69
  6. Step 6: Final answer
    x = 6.41

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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.