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Finding the Fourth Proportional to 171.07, 235.96 and 105.60

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Solution

The fourth proportional to 171.07, 235.96 and 105.60 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.07 : 235.96 = 105.60 : x
  2. Step 2: Convert to fraction form
    171.07/235.96 = 105.60/x
  3. Step 3: Cross multiply
    171.07x = 235.96 × 105.60
  4. Step 4: Simplify right side
    171.07x = 24,918.00
  5. Step 5: Solve for x
    x = 24,918.00/171.07
  6. Step 6: Final answer
    x = 145.66

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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.