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Finding the Fourth Proportional to 123.15, 184.59 and 75

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Solution

The fourth proportional to 123.15, 184.59 and 75 is: 112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.15 : 184.59 = 75 : x
  2. Step 2: Convert to fraction form
    123.15/184.59 = 75/x
  3. Step 3: Cross multiply
    123.15x = 184.59 × 75
  4. Step 4: Simplify right side
    123.15x = 13,844.25
  5. Step 5: Solve for x
    x = 13,844.25/123.15
  6. Step 6: Final answer
    x = 112.42

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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.