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Finding the Fourth Proportional to 125.56, 173.23 and 76.42

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Solution

The fourth proportional to 125.56, 173.23 and 76.42 is: 105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.56 : 173.23 = 76.42 : x
  2. Step 2: Convert to fraction form
    125.56/173.23 = 76.42/x
  3. Step 3: Cross multiply
    125.56x = 173.23 × 76.42
  4. Step 4: Simplify right side
    125.56x = 13,238.24
  5. Step 5: Solve for x
    x = 13,238.24/125.56
  6. Step 6: Final answer
    x = 105.43

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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.