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Finding the Fourth Proportional to 125.96, 190.06 and 120.96

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Solution

The fourth proportional to 125.96, 190.06 and 120.96 is: 182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.96 : 190.06 = 120.96 : x
  2. Step 2: Convert to fraction form
    125.96/190.06 = 120.96/x
  3. Step 3: Cross multiply
    125.96x = 190.06 × 120.96
  4. Step 4: Simplify right side
    125.96x = 22,989.66
  5. Step 5: Solve for x
    x = 22,989.66/125.96
  6. Step 6: Final answer
    x = 182.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.