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Finding the Fourth Proportional to 19.18, 28.78 and 7.76

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Solution

The fourth proportional to 19.18, 28.78 and 7.76 is: 11.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.18 : 28.78 = 7.76 : x
  2. Step 2: Convert to fraction form
    19.18/28.78 = 7.76/x
  3. Step 3: Cross multiply
    19.18x = 28.78 × 7.76
  4. Step 4: Simplify right side
    19.18x = 223.32
  5. Step 5: Solve for x
    x = 223.32/19.18
  6. Step 6: Final answer
    x = 11.65

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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.