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Finding the Fourth Proportional to 172.27, 257.86 and 124.15

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Solution

The fourth proportional to 172.27, 257.86 and 124.15 is: 185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.27 : 257.86 = 124.15 : x
  2. Step 2: Convert to fraction form
    172.27/257.86 = 124.15/x
  3. Step 3: Cross multiply
    172.27x = 257.86 × 124.15
  4. Step 4: Simplify right side
    172.27x = 32,013.32
  5. Step 5: Solve for x
    x = 32,013.32/172.27
  6. Step 6: Final answer
    x = 185.83

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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.