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Finding the Fourth Proportional to 172.65, 238.37 and 123.69

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Solution

The fourth proportional to 172.65, 238.37 and 123.69 is: 170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.65 : 238.37 = 123.69 : x
  2. Step 2: Convert to fraction form
    172.65/238.37 = 123.69/x
  3. Step 3: Cross multiply
    172.65x = 238.37 × 123.69
  4. Step 4: Simplify right side
    172.65x = 29,483.37
  5. Step 5: Solve for x
    x = 29,483.37/172.65
  6. Step 6: Final answer
    x = 170.77

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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.