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Finding the Fourth Proportional to 183.05, 252.61 and 100.16

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Solution

The fourth proportional to 183.05, 252.61 and 100.16 is: 138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.05 : 252.61 = 100.16 : x
  2. Step 2: Convert to fraction form
    183.05/252.61 = 100.16/x
  3. Step 3: Cross multiply
    183.05x = 252.61 × 100.16
  4. Step 4: Simplify right side
    183.05x = 25,301.06
  5. Step 5: Solve for x
    x = 25,301.06/183.05
  6. Step 6: Final answer
    x = 138.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.