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Finding the Fourth Proportional to 125.56, 173.22 and 75.78

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Solution

The fourth proportional to 125.56, 173.22 and 75.78 is: 104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.56 : 173.22 = 75.78 : x
  2. Step 2: Convert to fraction form
    125.56/173.22 = 75.78/x
  3. Step 3: Cross multiply
    125.56x = 173.22 × 75.78
  4. Step 4: Simplify right side
    125.56x = 13,125.75
  5. Step 5: Solve for x
    x = 13,125.75/125.56
  6. Step 6: Final answer
    x = 104.54

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