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Finding the Fourth Proportional to 172.56, 258.64 and 110.78

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Solution

The fourth proportional to 172.56, 258.64 and 110.78 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 258.64 = 110.78 : x
  2. Step 2: Convert to fraction form
    172.56/258.64 = 110.78/x
  3. Step 3: Cross multiply
    172.56x = 258.64 × 110.78
  4. Step 4: Simplify right side
    172.56x = 28,653.62
  5. Step 5: Solve for x
    x = 28,653.62/172.56
  6. Step 6: Final answer
    x = 166.05

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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.