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Finding the Fourth Proportional to 114.44, 171.50 and 83.96

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Solution

The fourth proportional to 114.44, 171.50 and 83.96 is: 125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.44 : 171.50 = 83.96 : x
  2. Step 2: Convert to fraction form
    114.44/171.50 = 83.96/x
  3. Step 3: Cross multiply
    114.44x = 171.50 × 83.96
  4. Step 4: Simplify right side
    114.44x = 14,399.14
  5. Step 5: Solve for x
    x = 14,399.14/114.44
  6. Step 6: Final answer
    x = 125.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.