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Finding the Fourth Proportional to 173.72, 239.72 and 100.02

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Solution

The fourth proportional to 173.72, 239.72 and 100.02 is: 138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.72 : 239.72 = 100.02 : x
  2. Step 2: Convert to fraction form
    173.72/239.72 = 100.02/x
  3. Step 3: Cross multiply
    173.72x = 239.72 × 100.02
  4. Step 4: Simplify right side
    173.72x = 23,976.29
  5. Step 5: Solve for x
    x = 23,976.29/173.72
  6. Step 6: Final answer
    x = 138.02

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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.