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Finding the Fourth Proportional to 123.86, 184.46 and 116.36

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Solution

The fourth proportional to 123.86, 184.46 and 116.36 is: 173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 184.46 = 116.36 : x
  2. Step 2: Convert to fraction form
    123.86/184.46 = 116.36/x
  3. Step 3: Cross multiply
    123.86x = 184.46 × 116.36
  4. Step 4: Simplify right side
    123.86x = 21,462.26
  5. Step 5: Solve for x
    x = 21,462.26/123.86
  6. Step 6: Final answer
    x = 173.29

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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.