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Finding the Fourth Proportional to 124.46, 186.76 and 75.73

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Solution

The fourth proportional to 124.46, 186.76 and 75.73 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.46 : 186.76 = 75.73 : x
  2. Step 2: Convert to fraction form
    124.46/186.76 = 75.73/x
  3. Step 3: Cross multiply
    124.46x = 186.76 × 75.73
  4. Step 4: Simplify right side
    124.46x = 14,143.33
  5. Step 5: Solve for x
    x = 14,143.33/124.46
  6. Step 6: Final answer
    x = 113.64

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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.