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Finding the Fourth Proportional to 173.54, 239.41 and 103.58

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Solution

The fourth proportional to 173.54, 239.41 and 103.58 is: 142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.54 : 239.41 = 103.58 : x
  2. Step 2: Convert to fraction form
    173.54/239.41 = 103.58/x
  3. Step 3: Cross multiply
    173.54x = 239.41 × 103.58
  4. Step 4: Simplify right side
    173.54x = 24,798.21
  5. Step 5: Solve for x
    x = 24,798.21/173.54
  6. Step 6: Final answer
    x = 142.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.