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Finding the Fourth Proportional to 114.09, 171.23 and 109.83

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Solution

The fourth proportional to 114.09, 171.23 and 109.83 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 171.23 = 109.83 : x
  2. Step 2: Convert to fraction form
    114.09/171.23 = 109.83/x
  3. Step 3: Cross multiply
    114.09x = 171.23 × 109.83
  4. Step 4: Simplify right side
    114.09x = 18,805.64
  5. Step 5: Solve for x
    x = 18,805.64/114.09
  6. Step 6: Final answer
    x = 164.83

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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.