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Finding the Fourth Proportional to 114.50, 171.94 and 106.09

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Solution

The fourth proportional to 114.50, 171.94 and 106.09 is: 159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.50 : 171.94 = 106.09 : x
  2. Step 2: Convert to fraction form
    114.50/171.94 = 106.09/x
  3. Step 3: Cross multiply
    114.50x = 171.94 × 106.09
  4. Step 4: Simplify right side
    114.50x = 18,241.11
  5. Step 5: Solve for x
    x = 18,241.11/114.50
  6. Step 6: Final answer
    x = 159.31

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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.