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Finding the Fourth Proportional to 125.37, 172.96 and 83.41

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Solution

The fourth proportional to 125.37, 172.96 and 83.41 is: 115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.37 : 172.96 = 83.41 : x
  2. Step 2: Convert to fraction form
    125.37/172.96 = 83.41/x
  3. Step 3: Cross multiply
    125.37x = 172.96 × 83.41
  4. Step 4: Simplify right side
    125.37x = 14,425.95
  5. Step 5: Solve for x
    x = 14,425.95/125.37
  6. Step 6: Final answer
    x = 115.07

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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.