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Finding the Fourth Proportional to 123.57, 184.91 and 100.80

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Solution

The fourth proportional to 123.57, 184.91 and 100.80 is: 150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.57 : 184.91 = 100.80 : x
  2. Step 2: Convert to fraction form
    123.57/184.91 = 100.80/x
  3. Step 3: Cross multiply
    123.57x = 184.91 × 100.80
  4. Step 4: Simplify right side
    123.57x = 18,638.42
  5. Step 5: Solve for x
    x = 18,638.42/123.57
  6. Step 6: Final answer
    x = 150.83

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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.