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Finding the Fourth Proportional to 125.26, 172.54 and 105.56

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Solution

The fourth proportional to 125.26, 172.54 and 105.56 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.26 : 172.54 = 105.56 : x
  2. Step 2: Convert to fraction form
    125.26/172.54 = 105.56/x
  3. Step 3: Cross multiply
    125.26x = 172.54 × 105.56
  4. Step 4: Simplify right side
    125.26x = 18,213.62
  5. Step 5: Solve for x
    x = 18,213.62/125.26
  6. Step 6: Final answer
    x = 145.41

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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.