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Finding the Fourth Proportional to 5.57, 7.68 and 3.14

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Solution

The fourth proportional to 5.57, 7.68 and 3.14 is: 4.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.57 : 7.68 = 3.14 : x
  2. Step 2: Convert to fraction form
    5.57/7.68 = 3.14/x
  3. Step 3: Cross multiply
    5.57x = 7.68 × 3.14
  4. Step 4: Simplify right side
    5.57x = 24.13
  5. Step 5: Solve for x
    x = 24.13/5.57
  6. Step 6: Final answer
    x = 4.33

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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.