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Finding the Fourth Proportional to 125.76, 173.12 and 105.96

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Solution

The fourth proportional to 125.76, 173.12 and 105.96 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.76 : 173.12 = 105.96 : x
  2. Step 2: Convert to fraction form
    125.76/173.12 = 105.96/x
  3. Step 3: Cross multiply
    125.76x = 173.12 × 105.96
  4. Step 4: Simplify right side
    125.76x = 18,343.80
  5. Step 5: Solve for x
    x = 18,343.80/125.76
  6. Step 6: Final answer
    x = 145.86

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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.