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Finding the Fourth Proportional to 9.55, 13.19 and 8.35

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Solution

The fourth proportional to 9.55, 13.19 and 8.35 is: 11.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.55 : 13.19 = 8.35 : x
  2. Step 2: Convert to fraction form
    9.55/13.19 = 8.35/x
  3. Step 3: Cross multiply
    9.55x = 13.19 × 8.35
  4. Step 4: Simplify right side
    9.55x = 110.09
  5. Step 5: Solve for x
    x = 110.09/9.55
  6. Step 6: Final answer
    x = 11.53

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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.