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Finding the Fourth Proportional to 125.46, 173.09 and 73.71

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Solution

The fourth proportional to 125.46, 173.09 and 73.71 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.46 : 173.09 = 73.71 : x
  2. Step 2: Convert to fraction form
    125.46/173.09 = 73.71/x
  3. Step 3: Cross multiply
    125.46x = 173.09 × 73.71
  4. Step 4: Simplify right side
    125.46x = 12,758.65
  5. Step 5: Solve for x
    x = 12,758.65/125.46
  6. Step 6: Final answer
    x = 101.69

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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.