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Finding the Fourth Proportional to 104.69, 144.59 and 83.03

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Solution

The fourth proportional to 104.69, 144.59 and 83.03 is: 114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.69 : 144.59 = 83.03 : x
  2. Step 2: Convert to fraction form
    104.69/144.59 = 83.03/x
  3. Step 3: Cross multiply
    104.69x = 144.59 × 83.03
  4. Step 4: Simplify right side
    104.69x = 12,004.17
  5. Step 5: Solve for x
    x = 12,004.17/104.69
  6. Step 6: Final answer
    x = 114.66

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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.