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Finding the Fourth Proportional to 172.53, 238.09 and 93.84

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Solution

The fourth proportional to 172.53, 238.09 and 93.84 is: 129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.53 : 238.09 = 93.84 : x
  2. Step 2: Convert to fraction form
    172.53/238.09 = 93.84/x
  3. Step 3: Cross multiply
    172.53x = 238.09 × 93.84
  4. Step 4: Simplify right side
    172.53x = 22,342.31
  5. Step 5: Solve for x
    x = 22,342.31/172.53
  6. Step 6: Final answer
    x = 129.50

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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.