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Finding the Fourth Proportional to 123.66, 184.39 and 109.27

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Solution

The fourth proportional to 123.66, 184.39 and 109.27 is: 162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.66 : 184.39 = 109.27 : x
  2. Step 2: Convert to fraction form
    123.66/184.39 = 109.27/x
  3. Step 3: Cross multiply
    123.66x = 184.39 × 109.27
  4. Step 4: Simplify right side
    123.66x = 20,148.30
  5. Step 5: Solve for x
    x = 20,148.30/123.66
  6. Step 6: Final answer
    x = 162.93

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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.