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Finding the Fourth Proportional to 9.09, 13.70 and 8.35

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Solution

The fourth proportional to 9.09, 13.70 and 8.35 is: 12.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.09 : 13.70 = 8.35 : x
  2. Step 2: Convert to fraction form
    9.09/13.70 = 8.35/x
  3. Step 3: Cross multiply
    9.09x = 13.70 × 8.35
  4. Step 4: Simplify right side
    9.09x = 114.38
  5. Step 5: Solve for x
    x = 114.38/9.09
  6. Step 6: Final answer
    x = 12.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.