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Finding the Fourth Proportional to 9.83, 13.56 and 8.02

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Solution

The fourth proportional to 9.83, 13.56 and 8.02 is: 11.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.83 : 13.56 = 8.02 : x
  2. Step 2: Convert to fraction form
    9.83/13.56 = 8.02/x
  3. Step 3: Cross multiply
    9.83x = 13.56 × 8.02
  4. Step 4: Simplify right side
    9.83x = 108.75
  5. Step 5: Solve for x
    x = 108.75/9.83
  6. Step 6: Final answer
    x = 11.06

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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.