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Finding the Fourth Proportional to 123.86, 184.86 and 113.54

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Solution

The fourth proportional to 123.86, 184.86 and 113.54 is: 169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 184.86 = 113.54 : x
  2. Step 2: Convert to fraction form
    123.86/184.86 = 113.54/x
  3. Step 3: Cross multiply
    123.86x = 184.86 × 113.54
  4. Step 4: Simplify right side
    123.86x = 20,988.08
  5. Step 5: Solve for x
    x = 20,988.08/123.86
  6. Step 6: Final answer
    x = 169.45

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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.