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Finding the Fourth Proportional to 97.26, 133.50 and 84.30

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Solution

The fourth proportional to 97.26, 133.50 and 84.30 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.26 : 133.50 = 84.30 : x
  2. Step 2: Convert to fraction form
    97.26/133.50 = 84.30/x
  3. Step 3: Cross multiply
    97.26x = 133.50 × 84.30
  4. Step 4: Simplify right side
    97.26x = 11,254.05
  5. Step 5: Solve for x
    x = 11,254.05/97.26
  6. Step 6: Final answer
    x = 115.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.