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Finding the Fourth Proportional to 125.75, 173.61 and 84.29

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Solution

The fourth proportional to 125.75, 173.61 and 84.29 is: 116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.75 : 173.61 = 84.29 : x
  2. Step 2: Convert to fraction form
    125.75/173.61 = 84.29/x
  3. Step 3: Cross multiply
    125.75x = 173.61 × 84.29
  4. Step 4: Simplify right side
    125.75x = 14,633.59
  5. Step 5: Solve for x
    x = 14,633.59/125.75
  6. Step 6: Final answer
    x = 116.37

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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.