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Finding the Fourth Proportional to 171.46, 236.70 and 106.06

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Solution

The fourth proportional to 171.46, 236.70 and 106.06 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.46 : 236.70 = 106.06 : x
  2. Step 2: Convert to fraction form
    171.46/236.70 = 106.06/x
  3. Step 3: Cross multiply
    171.46x = 236.70 × 106.06
  4. Step 4: Simplify right side
    171.46x = 25,104.40
  5. Step 5: Solve for x
    x = 25,104.40/171.46
  6. Step 6: Final answer
    x = 146.42

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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.