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Finding the Fourth Proportional to 123.73, 185.16 and 106.81

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Solution

The fourth proportional to 123.73, 185.16 and 106.81 is: 159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.73 : 185.16 = 106.81 : x
  2. Step 2: Convert to fraction form
    123.73/185.16 = 106.81/x
  3. Step 3: Cross multiply
    123.73x = 185.16 × 106.81
  4. Step 4: Simplify right side
    123.73x = 19,776.94
  5. Step 5: Solve for x
    x = 19,776.94/123.73
  6. Step 6: Final answer
    x = 159.84

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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.