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Finding the Fourth Proportional to 171.37, 236.53 and 105.83

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Solution

The fourth proportional to 171.37, 236.53 and 105.83 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.37 : 236.53 = 105.83 : x
  2. Step 2: Convert to fraction form
    171.37/236.53 = 105.83/x
  3. Step 3: Cross multiply
    171.37x = 236.53 × 105.83
  4. Step 4: Simplify right side
    171.37x = 25,032.50
  5. Step 5: Solve for x
    x = 25,032.50/171.37
  6. Step 6: Final answer
    x = 146.08

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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.