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Finding the Fourth Proportional to 123.24, 183.89 and 110.25

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Solution

The fourth proportional to 123.24, 183.89 and 110.25 is: 164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.24 : 183.89 = 110.25 : x
  2. Step 2: Convert to fraction form
    123.24/183.89 = 110.25/x
  3. Step 3: Cross multiply
    123.24x = 183.89 × 110.25
  4. Step 4: Simplify right side
    123.24x = 20,274.15
  5. Step 5: Solve for x
    x = 20,274.15/123.24
  6. Step 6: Final answer
    x = 164.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.