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Finding the Fourth Proportional to 171.16, 236.31 and 105.70

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Solution

The fourth proportional to 171.16, 236.31 and 105.70 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.16 : 236.31 = 105.70 : x
  2. Step 2: Convert to fraction form
    171.16/236.31 = 105.70/x
  3. Step 3: Cross multiply
    171.16x = 236.31 × 105.70
  4. Step 4: Simplify right side
    171.16x = 24,977.97
  5. Step 5: Solve for x
    x = 24,977.97/171.16
  6. Step 6: Final answer
    x = 145.93

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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.