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Finding the Fourth Proportional to 172.29, 238.07 and 123.08

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Solution

The fourth proportional to 172.29, 238.07 and 123.08 is: 170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.29 : 238.07 = 123.08 : x
  2. Step 2: Convert to fraction form
    172.29/238.07 = 123.08/x
  3. Step 3: Cross multiply
    172.29x = 238.07 × 123.08
  4. Step 4: Simplify right side
    172.29x = 29,302.56
  5. Step 5: Solve for x
    x = 29,302.56/172.29
  6. Step 6: Final answer
    x = 170.08

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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.