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Finding the Fourth Proportional to 171.37, 257.07 and 102.94

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Solution

The fourth proportional to 171.37, 257.07 and 102.94 is: 154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.37 : 257.07 = 102.94 : x
  2. Step 2: Convert to fraction form
    171.37/257.07 = 102.94/x
  3. Step 3: Cross multiply
    171.37x = 257.07 × 102.94
  4. Step 4: Simplify right side
    171.37x = 26,462.79
  5. Step 5: Solve for x
    x = 26,462.79/171.37
  6. Step 6: Final answer
    x = 154.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.