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Finding the Fourth Proportional to 104.09, 155.32 and 98.62

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Solution

The fourth proportional to 104.09, 155.32 and 98.62 is: 147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.09 : 155.32 = 98.62 : x
  2. Step 2: Convert to fraction form
    104.09/155.32 = 98.62/x
  3. Step 3: Cross multiply
    104.09x = 155.32 × 98.62
  4. Step 4: Simplify right side
    104.09x = 15,317.66
  5. Step 5: Solve for x
    x = 15,317.66/104.09
  6. Step 6: Final answer
    x = 147.16

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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.