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Finding the Fourth Proportional to 7.63, 11.42 and 3.11

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Solution

The fourth proportional to 7.63, 11.42 and 3.11 is: 4.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.63 : 11.42 = 3.11 : x
  2. Step 2: Convert to fraction form
    7.63/11.42 = 3.11/x
  3. Step 3: Cross multiply
    7.63x = 11.42 × 3.11
  4. Step 4: Simplify right side
    7.63x = 35.47
  5. Step 5: Solve for x
    x = 35.47/7.63
  6. Step 6: Final answer
    x = 4.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.