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Finding the Fourth Proportional to 114.11, 171.83 and 83.88

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Solution

The fourth proportional to 114.11, 171.83 and 83.88 is: 126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.11 : 171.83 = 83.88 : x
  2. Step 2: Convert to fraction form
    114.11/171.83 = 83.88/x
  3. Step 3: Cross multiply
    114.11x = 171.83 × 83.88
  4. Step 4: Simplify right side
    114.11x = 14,412.68
  5. Step 5: Solve for x
    x = 14,412.68/114.11
  6. Step 6: Final answer
    x = 126.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.