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Finding the Fourth Proportional to 171.63, 236.73 and 106.17

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Solution

The fourth proportional to 171.63, 236.73 and 106.17 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.63 : 236.73 = 106.17 : x
  2. Step 2: Convert to fraction form
    171.63/236.73 = 106.17/x
  3. Step 3: Cross multiply
    171.63x = 236.73 × 106.17
  4. Step 4: Simplify right side
    171.63x = 25,133.13
  5. Step 5: Solve for x
    x = 25,133.13/171.63
  6. Step 6: Final answer
    x = 146.44

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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.