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Finding the Fourth Proportional to 116.03, 159.98 and 83.27

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Solution

The fourth proportional to 116.03, 159.98 and 83.27 is: 114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.03 : 159.98 = 83.27 : x
  2. Step 2: Convert to fraction form
    116.03/159.98 = 83.27/x
  3. Step 3: Cross multiply
    116.03x = 159.98 × 83.27
  4. Step 4: Simplify right side
    116.03x = 13,321.12
  5. Step 5: Solve for x
    x = 13,321.12/116.03
  6. Step 6: Final answer
    x = 114.81

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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.