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Finding the Fourth Proportional to 123.51, 185.26 and 41.24

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Solution

The fourth proportional to 123.51, 185.26 and 41.24 is: 61.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.51 : 185.26 = 41.24 : x
  2. Step 2: Convert to fraction form
    123.51/185.26 = 41.24/x
  3. Step 3: Cross multiply
    123.51x = 185.26 × 41.24
  4. Step 4: Simplify right side
    123.51x = 7,640.12
  5. Step 5: Solve for x
    x = 7,640.12/123.51
  6. Step 6: Final answer
    x = 61.86

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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.