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Finding the Fourth Proportional to 183.53, 275.05 and 67.87

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Solution

The fourth proportional to 183.53, 275.05 and 67.87 is: 101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.53 : 275.05 = 67.87 : x
  2. Step 2: Convert to fraction form
    183.53/275.05 = 67.87/x
  3. Step 3: Cross multiply
    183.53x = 275.05 × 67.87
  4. Step 4: Simplify right side
    183.53x = 18,666.79
  5. Step 5: Solve for x
    x = 18,666.79/183.53
  6. Step 6: Final answer
    x = 101.71

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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.