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Finding the Fourth Proportional to 183.73, 275.55 and 53.69

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Solution

The fourth proportional to 183.73, 275.55 and 53.69 is: 80.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.73 : 275.55 = 53.69 : x
  2. Step 2: Convert to fraction form
    183.73/275.55 = 53.69/x
  3. Step 3: Cross multiply
    183.73x = 275.55 × 53.69
  4. Step 4: Simplify right side
    183.73x = 14,795.29
  5. Step 5: Solve for x
    x = 14,795.29/183.73
  6. Step 6: Final answer
    x = 80.53

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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.