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Finding the Fourth Proportional to 97.38, 135.09 and 96.05

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Solution

The fourth proportional to 97.38, 135.09 and 96.05 is: 133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.38 : 135.09 = 96.05 : x
  2. Step 2: Convert to fraction form
    97.38/135.09 = 96.05/x
  3. Step 3: Cross multiply
    97.38x = 135.09 × 96.05
  4. Step 4: Simplify right side
    97.38x = 12,975.73
  5. Step 5: Solve for x
    x = 12,975.73/97.38
  6. Step 6: Final answer
    x = 133.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.