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Finding the Fourth Proportional to 123.75, 185.63 and 55.27

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Solution

The fourth proportional to 123.75, 185.63 and 55.27 is: 82.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.75 : 185.63 = 55.27 : x
  2. Step 2: Convert to fraction form
    123.75/185.63 = 55.27/x
  3. Step 3: Cross multiply
    123.75x = 185.63 × 55.27
  4. Step 4: Simplify right side
    123.75x = 10,259.77
  5. Step 5: Solve for x
    x = 10,259.77/123.75
  6. Step 6: Final answer
    x = 82.91

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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.