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Finding the Fourth Proportional to 104.67, 155.88 and 102.83

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Solution

The fourth proportional to 104.67, 155.88 and 102.83 is: 153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.67 : 155.88 = 102.83 : x
  2. Step 2: Convert to fraction form
    104.67/155.88 = 102.83/x
  3. Step 3: Cross multiply
    104.67x = 155.88 × 102.83
  4. Step 4: Simplify right side
    104.67x = 16,028.36
  5. Step 5: Solve for x
    x = 16,028.36/104.67
  6. Step 6: Final answer
    x = 153.13

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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.