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Finding the Fourth Proportional to 123.72, 184.55 and 113.24

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Solution

The fourth proportional to 123.72, 184.55 and 113.24 is: 168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.72 : 184.55 = 113.24 : x
  2. Step 2: Convert to fraction form
    123.72/184.55 = 113.24/x
  3. Step 3: Cross multiply
    123.72x = 184.55 × 113.24
  4. Step 4: Simplify right side
    123.72x = 20,896.95
  5. Step 5: Solve for x
    x = 20,896.95/123.72
  6. Step 6: Final answer
    x = 168.91

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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.