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Finding the Fourth Proportional to 13.18, 19.78 and 5.96

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Solution

The fourth proportional to 13.18, 19.78 and 5.96 is: 8.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.18 : 19.78 = 5.96 : x
  2. Step 2: Convert to fraction form
    13.18/19.78 = 5.96/x
  3. Step 3: Cross multiply
    13.18x = 19.78 × 5.96
  4. Step 4: Simplify right side
    13.18x = 117.89
  5. Step 5: Solve for x
    x = 117.89/13.18
  6. Step 6: Final answer
    x = 8.94

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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.