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Finding the Fourth Proportional to 171.57, 236.77 and 106.07

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Solution

The fourth proportional to 171.57, 236.77 and 106.07 is: 146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.57 : 236.77 = 106.07 : x
  2. Step 2: Convert to fraction form
    171.57/236.77 = 106.07/x
  3. Step 3: Cross multiply
    171.57x = 236.77 × 106.07
  4. Step 4: Simplify right side
    171.57x = 25,112.74
  5. Step 5: Solve for x
    x = 25,112.74/171.57
  6. Step 6: Final answer
    x = 146.37

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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.