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Finding the Fourth Proportional to 122.84, 184.26 and 75.05

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Solution

The fourth proportional to 122.84, 184.26 and 75.05 is: 112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 184.26 = 75.05 : x
  2. Step 2: Convert to fraction form
    122.84/184.26 = 75.05/x
  3. Step 3: Cross multiply
    122.84x = 184.26 × 75.05
  4. Step 4: Simplify right side
    122.84x = 13,827.42
  5. Step 5: Solve for x
    x = 13,827.42/122.84
  6. Step 6: Final answer
    x = 112.57

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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.