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Finding the Fourth Proportional to 172.11, 257.60 and 103.41

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Solution

The fourth proportional to 172.11, 257.60 and 103.41 is: 154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.11 : 257.60 = 103.41 : x
  2. Step 2: Convert to fraction form
    172.11/257.60 = 103.41/x
  3. Step 3: Cross multiply
    172.11x = 257.60 × 103.41
  4. Step 4: Simplify right side
    172.11x = 26,637.90
  5. Step 5: Solve for x
    x = 26,637.90/172.11
  6. Step 6: Final answer
    x = 154.77

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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.