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Finding the Fourth Proportional to 172.09, 258.07 and 69.36

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Solution

The fourth proportional to 172.09, 258.07 and 69.36 is: 104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.09 : 258.07 = 69.36 : x
  2. Step 2: Convert to fraction form
    172.09/258.07 = 69.36/x
  3. Step 3: Cross multiply
    172.09x = 258.07 × 69.36
  4. Step 4: Simplify right side
    172.09x = 17,899.74
  5. Step 5: Solve for x
    x = 17,899.74/172.09
  6. Step 6: Final answer
    x = 104.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.