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Finding the Fourth Proportional to 173.13, 238.93 and 103.22

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Solution

The fourth proportional to 173.13, 238.93 and 103.22 is: 142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.13 : 238.93 = 103.22 : x
  2. Step 2: Convert to fraction form
    173.13/238.93 = 103.22/x
  3. Step 3: Cross multiply
    173.13x = 238.93 × 103.22
  4. Step 4: Simplify right side
    173.13x = 24,662.35
  5. Step 5: Solve for x
    x = 24,662.35/173.13
  6. Step 6: Final answer
    x = 142.45

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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.