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Finding the Fourth Proportional to 123.74, 170.83 and 94.54

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Solution

The fourth proportional to 123.74, 170.83 and 94.54 is: 130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.74 : 170.83 = 94.54 : x
  2. Step 2: Convert to fraction form
    123.74/170.83 = 94.54/x
  3. Step 3: Cross multiply
    123.74x = 170.83 × 94.54
  4. Step 4: Simplify right side
    123.74x = 16,150.27
  5. Step 5: Solve for x
    x = 16,150.27/123.74
  6. Step 6: Final answer
    x = 130.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.