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Finding the Fourth Proportional to 171.05, 235.85 and 127.31

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Solution

The fourth proportional to 171.05, 235.85 and 127.31 is: 175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.05 : 235.85 = 127.31 : x
  2. Step 2: Convert to fraction form
    171.05/235.85 = 127.31/x
  3. Step 3: Cross multiply
    171.05x = 235.85 × 127.31
  4. Step 4: Simplify right side
    171.05x = 30,024.25
  5. Step 5: Solve for x
    x = 30,024.25/171.05
  6. Step 6: Final answer
    x = 175.53

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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.