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Finding the Fourth Proportional to 104.08, 143.34 and 84.64

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Solution

The fourth proportional to 104.08, 143.34 and 84.64 is: 116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.08 : 143.34 = 84.64 : x
  2. Step 2: Convert to fraction form
    104.08/143.34 = 84.64/x
  3. Step 3: Cross multiply
    104.08x = 143.34 × 84.64
  4. Step 4: Simplify right side
    104.08x = 12,132.30
  5. Step 5: Solve for x
    x = 12,132.30/104.08
  6. Step 6: Final answer
    x = 116.57

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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.