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Finding the Fourth Proportional to 5.19, 7.78 and 1.81

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Solution

The fourth proportional to 5.19, 7.78 and 1.81 is: 2.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.19 : 7.78 = 1.81 : x
  2. Step 2: Convert to fraction form
    5.19/7.78 = 1.81/x
  3. Step 3: Cross multiply
    5.19x = 7.78 × 1.81
  4. Step 4: Simplify right side
    5.19x = 14.04
  5. Step 5: Solve for x
    x = 14.04/5.19
  6. Step 6: Final answer
    x = 2.71

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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.