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Finding the Fourth Proportional to 13.02, 17.96 and 7.83

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Solution

The fourth proportional to 13.02, 17.96 and 7.83 is: 10.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.02 : 17.96 = 7.83 : x
  2. Step 2: Convert to fraction form
    13.02/17.96 = 7.83/x
  3. Step 3: Cross multiply
    13.02x = 17.96 × 7.83
  4. Step 4: Simplify right side
    13.02x = 140.59
  5. Step 5: Solve for x
    x = 140.59/13.02
  6. Step 6: Final answer
    x = 10.80

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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.