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Finding the Fourth Proportional to 123.76, 185.82 and 112.96

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Solution

The fourth proportional to 123.76, 185.82 and 112.96 is: 169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.76 : 185.82 = 112.96 : x
  2. Step 2: Convert to fraction form
    123.76/185.82 = 112.96/x
  3. Step 3: Cross multiply
    123.76x = 185.82 × 112.96
  4. Step 4: Simplify right side
    123.76x = 20,990.23
  5. Step 5: Solve for x
    x = 20,990.23/123.76
  6. Step 6: Final answer
    x = 169.60

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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.