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Finding the Fourth Proportional to 9.14, 13.71 and 3.80

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Solution

The fourth proportional to 9.14, 13.71 and 3.80 is: 5.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.14 : 13.71 = 3.80 : x
  2. Step 2: Convert to fraction form
    9.14/13.71 = 3.80/x
  3. Step 3: Cross multiply
    9.14x = 13.71 × 3.80
  4. Step 4: Simplify right side
    9.14x = 52.03
  5. Step 5: Solve for x
    x = 52.03/9.14
  6. Step 6: Final answer
    x = 5.70

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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.