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Finding the Fourth Proportional to 123.36, 184.99 and 54.87

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Solution

The fourth proportional to 123.36, 184.99 and 54.87 is: 82.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.36 : 184.99 = 54.87 : x
  2. Step 2: Convert to fraction form
    123.36/184.99 = 54.87/x
  3. Step 3: Cross multiply
    123.36x = 184.99 × 54.87
  4. Step 4: Simplify right side
    123.36x = 10,150.40
  5. Step 5: Solve for x
    x = 10,150.40/123.36
  6. Step 6: Final answer
    x = 82.28

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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.