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Finding the Fourth Proportional to 125.26, 172.74 and 83.78

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Solution

The fourth proportional to 125.26, 172.74 and 83.78 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.26 : 172.74 = 83.78 : x
  2. Step 2: Convert to fraction form
    125.26/172.74 = 83.78/x
  3. Step 3: Cross multiply
    125.26x = 172.74 × 83.78
  4. Step 4: Simplify right side
    125.26x = 14,472.16
  5. Step 5: Solve for x
    x = 14,472.16/125.26
  6. Step 6: Final answer
    x = 115.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.