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Finding the Fourth Proportional to 114.28, 171.65 and 111.09

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Solution

The fourth proportional to 114.28, 171.65 and 111.09 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.28 : 171.65 = 111.09 : x
  2. Step 2: Convert to fraction form
    114.28/171.65 = 111.09/x
  3. Step 3: Cross multiply
    114.28x = 171.65 × 111.09
  4. Step 4: Simplify right side
    114.28x = 19,067.18
  5. Step 5: Solve for x
    x = 19,067.18/114.28
  6. Step 6: Final answer
    x = 166.85

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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.