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Finding the Fourth Proportional to 125.86, 173.71 and 76.05

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Solution

The fourth proportional to 125.86, 173.71 and 76.05 is: 104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.86 : 173.71 = 76.05 : x
  2. Step 2: Convert to fraction form
    125.86/173.71 = 76.05/x
  3. Step 3: Cross multiply
    125.86x = 173.71 × 76.05
  4. Step 4: Simplify right side
    125.86x = 13,209.80
  5. Step 5: Solve for x
    x = 13,209.80/125.86
  6. Step 6: Final answer
    x = 104.96

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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.