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Finding the Fourth Proportional to 123.12, 184.46 and 97.60

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Solution

The fourth proportional to 123.12, 184.46 and 97.60 is: 146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.12 : 184.46 = 97.60 : x
  2. Step 2: Convert to fraction form
    123.12/184.46 = 97.60/x
  3. Step 3: Cross multiply
    123.12x = 184.46 × 97.60
  4. Step 4: Simplify right side
    123.12x = 18,003.30
  5. Step 5: Solve for x
    x = 18,003.30/123.12
  6. Step 6: Final answer
    x = 146.23

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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.