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Finding the Fourth Proportional to 173.02, 238.80 and 103.10

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Solution

The fourth proportional to 173.02, 238.80 and 103.10 is: 142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.02 : 238.80 = 103.10 : x
  2. Step 2: Convert to fraction form
    173.02/238.80 = 103.10/x
  3. Step 3: Cross multiply
    173.02x = 238.80 × 103.10
  4. Step 4: Simplify right side
    173.02x = 24,620.28
  5. Step 5: Solve for x
    x = 24,620.28/173.02
  6. Step 6: Final answer
    x = 142.30

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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.