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Finding the Fourth Proportional to 173.05, 238.70 and 103.06

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Solution

The fourth proportional to 173.05, 238.70 and 103.06 is: 142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.05 : 238.70 = 103.06 : x
  2. Step 2: Convert to fraction form
    173.05/238.70 = 103.06/x
  3. Step 3: Cross multiply
    173.05x = 238.70 × 103.06
  4. Step 4: Simplify right side
    173.05x = 24,599.50
  5. Step 5: Solve for x
    x = 24,599.50/173.05
  6. Step 6: Final answer
    x = 142.16

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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.