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Finding the Fourth Proportional to 123.41, 171.09 and 117.25

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Solution

The fourth proportional to 123.41, 171.09 and 117.25 is: 162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.41 : 171.09 = 117.25 : x
  2. Step 2: Convert to fraction form
    123.41/171.09 = 117.25/x
  3. Step 3: Cross multiply
    123.41x = 171.09 × 117.25
  4. Step 4: Simplify right side
    123.41x = 20,059.87
  5. Step 5: Solve for x
    x = 20,059.87/123.41
  6. Step 6: Final answer
    x = 162.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.