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Finding the Fourth Proportional to 104.26, 143.46 and 96.51

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Solution

The fourth proportional to 104.26, 143.46 and 96.51 is: 132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.26 : 143.46 = 96.51 : x
  2. Step 2: Convert to fraction form
    104.26/143.46 = 96.51/x
  3. Step 3: Cross multiply
    104.26x = 143.46 × 96.51
  4. Step 4: Simplify right side
    104.26x = 13,845.32
  5. Step 5: Solve for x
    x = 13,845.32/104.26
  6. Step 6: Final answer
    x = 132.80

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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.