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Finding the Fourth Proportional to 5.14, 7.73 and 3.54

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Solution

The fourth proportional to 5.14, 7.73 and 3.54 is: 5.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 7.73 = 3.54 : x
  2. Step 2: Convert to fraction form
    5.14/7.73 = 3.54/x
  3. Step 3: Cross multiply
    5.14x = 7.73 × 3.54
  4. Step 4: Simplify right side
    5.14x = 27.36
  5. Step 5: Solve for x
    x = 27.36/5.14
  6. Step 6: Final answer
    x = 5.32

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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.