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Finding the Fourth Proportional to 171.70, 236.85 and 106.09

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Solution

The fourth proportional to 171.70, 236.85 and 106.09 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.70 : 236.85 = 106.09 : x
  2. Step 2: Convert to fraction form
    171.70/236.85 = 106.09/x
  3. Step 3: Cross multiply
    171.70x = 236.85 × 106.09
  4. Step 4: Simplify right side
    171.70x = 25,126.23
  5. Step 5: Solve for x
    x = 25,126.23/171.70
  6. Step 6: Final answer
    x = 146.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.