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Finding the Fourth Proportional to 172.94, 238.64 and 110.79

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Solution

The fourth proportional to 172.94, 238.64 and 110.79 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.94 : 238.64 = 110.79 : x
  2. Step 2: Convert to fraction form
    172.94/238.64 = 110.79/x
  3. Step 3: Cross multiply
    172.94x = 238.64 × 110.79
  4. Step 4: Simplify right side
    172.94x = 26,438.93
  5. Step 5: Solve for x
    x = 26,438.93/172.94
  6. Step 6: Final answer
    x = 152.88

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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.