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Finding the Fourth Proportional to 183.81, 275.85 and 75.63

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Solution

The fourth proportional to 183.81, 275.85 and 75.63 is: 113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.81 : 275.85 = 75.63 : x
  2. Step 2: Convert to fraction form
    183.81/275.85 = 75.63/x
  3. Step 3: Cross multiply
    183.81x = 275.85 × 75.63
  4. Step 4: Simplify right side
    183.81x = 20,862.54
  5. Step 5: Solve for x
    x = 20,862.54/183.81
  6. Step 6: Final answer
    x = 113.50

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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.