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Finding the Fourth Proportional to 125.71, 173.09 and 120.52

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Solution

The fourth proportional to 125.71, 173.09 and 120.52 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.71 : 173.09 = 120.52 : x
  2. Step 2: Convert to fraction form
    125.71/173.09 = 120.52/x
  3. Step 3: Cross multiply
    125.71x = 173.09 × 120.52
  4. Step 4: Simplify right side
    125.71x = 20,860.94
  5. Step 5: Solve for x
    x = 20,860.94/125.71
  6. Step 6: Final answer
    x = 165.95

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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.