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Finding the Fourth Proportional to 104.19, 155.67 and 83.68

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Solution

The fourth proportional to 104.19, 155.67 and 83.68 is: 125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.19 : 155.67 = 83.68 : x
  2. Step 2: Convert to fraction form
    104.19/155.67 = 83.68/x
  3. Step 3: Cross multiply
    104.19x = 155.67 × 83.68
  4. Step 4: Simplify right side
    104.19x = 13,027.11
  5. Step 5: Solve for x
    x = 13,027.11/104.19
  6. Step 6: Final answer
    x = 125.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.