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Finding the Fourth Proportional to 171.03, 235.71 and 115.61

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Solution

The fourth proportional to 171.03, 235.71 and 115.61 is: 159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.03 : 235.71 = 115.61 : x
  2. Step 2: Convert to fraction form
    171.03/235.71 = 115.61/x
  3. Step 3: Cross multiply
    171.03x = 235.71 × 115.61
  4. Step 4: Simplify right side
    171.03x = 27,249.25
  5. Step 5: Solve for x
    x = 27,249.25/171.03
  6. Step 6: Final answer
    x = 159.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.