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Finding the Fourth Proportional to 123.13, 184.24 and 116.29

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Solution

The fourth proportional to 123.13, 184.24 and 116.29 is: 174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.13 : 184.24 = 116.29 : x
  2. Step 2: Convert to fraction form
    123.13/184.24 = 116.29/x
  3. Step 3: Cross multiply
    123.13x = 184.24 × 116.29
  4. Step 4: Simplify right side
    123.13x = 21,425.27
  5. Step 5: Solve for x
    x = 21,425.27/123.13
  6. Step 6: Final answer
    x = 174.01

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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.