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Finding the Fourth Proportional to 125.83, 189.05 and 107.61

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Solution

The fourth proportional to 125.83, 189.05 and 107.61 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.83 : 189.05 = 107.61 : x
  2. Step 2: Convert to fraction form
    125.83/189.05 = 107.61/x
  3. Step 3: Cross multiply
    125.83x = 189.05 × 107.61
  4. Step 4: Simplify right side
    125.83x = 20,343.67
  5. Step 5: Solve for x
    x = 20,343.67/125.83
  6. Step 6: Final answer
    x = 161.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.