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Finding the Fourth Proportional to 173.04, 238.74 and 103.06

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Solution

The fourth proportional to 173.04, 238.74 and 103.06 is: 142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.04 : 238.74 = 103.06 : x
  2. Step 2: Convert to fraction form
    173.04/238.74 = 103.06/x
  3. Step 3: Cross multiply
    173.04x = 238.74 × 103.06
  4. Step 4: Simplify right side
    173.04x = 24,604.54
  5. Step 5: Solve for x
    x = 24,604.54/173.04
  6. Step 6: Final answer
    x = 142.19

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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.