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Finding the Fourth Proportional to 123.91, 184.93 and 110.04

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Solution

The fourth proportional to 123.91, 184.93 and 110.04 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.91 : 184.93 = 110.04 : x
  2. Step 2: Convert to fraction form
    123.91/184.93 = 110.04/x
  3. Step 3: Cross multiply
    123.91x = 184.93 × 110.04
  4. Step 4: Simplify right side
    123.91x = 20,348.43
  5. Step 5: Solve for x
    x = 20,348.43/123.91
  6. Step 6: Final answer
    x = 164.22

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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.