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Finding the Fourth Proportional to 172.05, 258.42 and 102.77

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Solution

The fourth proportional to 172.05, 258.42 and 102.77 is: 154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.05 : 258.42 = 102.77 : x
  2. Step 2: Convert to fraction form
    172.05/258.42 = 102.77/x
  3. Step 3: Cross multiply
    172.05x = 258.42 × 102.77
  4. Step 4: Simplify right side
    172.05x = 26,558.21
  5. Step 5: Solve for x
    x = 26,558.21/172.05
  6. Step 6: Final answer
    x = 154.36

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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.