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Finding the Fourth Proportional to 97.23, 133.44 and 94.53

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Solution

The fourth proportional to 97.23, 133.44 and 94.53 is: 129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.23 : 133.44 = 94.53 : x
  2. Step 2: Convert to fraction form
    97.23/133.44 = 94.53/x
  3. Step 3: Cross multiply
    97.23x = 133.44 × 94.53
  4. Step 4: Simplify right side
    97.23x = 12,614.08
  5. Step 5: Solve for x
    x = 12,614.08/97.23
  6. Step 6: Final answer
    x = 129.73

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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.