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Finding the Fourth Proportional to 123.54, 184.05 and 120.81

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Solution

The fourth proportional to 123.54, 184.05 and 120.81 is: 179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.54 : 184.05 = 120.81 : x
  2. Step 2: Convert to fraction form
    123.54/184.05 = 120.81/x
  3. Step 3: Cross multiply
    123.54x = 184.05 × 120.81
  4. Step 4: Simplify right side
    123.54x = 22,235.08
  5. Step 5: Solve for x
    x = 22,235.08/123.54
  6. Step 6: Final answer
    x = 179.98

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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.