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Finding the Fourth Proportional to 104.74, 144.59 and 83.02

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Solution

The fourth proportional to 104.74, 144.59 and 83.02 is: 114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.74 : 144.59 = 83.02 : x
  2. Step 2: Convert to fraction form
    104.74/144.59 = 83.02/x
  3. Step 3: Cross multiply
    104.74x = 144.59 × 83.02
  4. Step 4: Simplify right side
    104.74x = 12,003.86
  5. Step 5: Solve for x
    x = 12,003.86/104.74
  6. Step 6: Final answer
    x = 114.61

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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.