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Finding the Fourth Proportional to 173.63, 239.63 and 96.02

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Solution

The fourth proportional to 173.63, 239.63 and 96.02 is: 132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.63 : 239.63 = 96.02 : x
  2. Step 2: Convert to fraction form
    173.63/239.63 = 96.02/x
  3. Step 3: Cross multiply
    173.63x = 239.63 × 96.02
  4. Step 4: Simplify right side
    173.63x = 23,007.59
  5. Step 5: Solve for x
    x = 23,007.59/173.63
  6. Step 6: Final answer
    x = 132.51

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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.