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Finding the Fourth Proportional to 7.62, 11.42 and 4.78

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Solution

The fourth proportional to 7.62, 11.42 and 4.78 is: 7.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.62 : 11.42 = 4.78 : x
  2. Step 2: Convert to fraction form
    7.62/11.42 = 4.78/x
  3. Step 3: Cross multiply
    7.62x = 11.42 × 4.78
  4. Step 4: Simplify right side
    7.62x = 54.56
  5. Step 5: Solve for x
    x = 54.56/7.62
  6. Step 6: Final answer
    x = 7.17

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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.