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Finding the Fourth Proportional to 171.14, 235.89 and 127.46

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Solution

The fourth proportional to 171.14, 235.89 and 127.46 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 235.89 = 127.46 : x
  2. Step 2: Convert to fraction form
    171.14/235.89 = 127.46/x
  3. Step 3: Cross multiply
    171.14x = 235.89 × 127.46
  4. Step 4: Simplify right side
    171.14x = 30,066.54
  5. Step 5: Solve for x
    x = 30,066.54/171.14
  6. Step 6: Final answer
    x = 175.68

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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.