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Finding the Fourth Proportional to 123.10, 184.65 and 113.20

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Solution

The fourth proportional to 123.10, 184.65 and 113.20 is: 169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.10 : 184.65 = 113.20 : x
  2. Step 2: Convert to fraction form
    123.10/184.65 = 113.20/x
  3. Step 3: Cross multiply
    123.10x = 184.65 × 113.20
  4. Step 4: Simplify right side
    123.10x = 20,902.38
  5. Step 5: Solve for x
    x = 20,902.38/123.10
  6. Step 6: Final answer
    x = 169.80

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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.