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Finding the Fourth Proportional to 183.51, 275.07 and 75.24

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Solution

The fourth proportional to 183.51, 275.07 and 75.24 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.51 : 275.07 = 75.24 : x
  2. Step 2: Convert to fraction form
    183.51/275.07 = 75.24/x
  3. Step 3: Cross multiply
    183.51x = 275.07 × 75.24
  4. Step 4: Simplify right side
    183.51x = 20,696.27
  5. Step 5: Solve for x
    x = 20,696.27/183.51
  6. Step 6: Final answer
    x = 112.78

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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.