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Finding the Fourth Proportional to 122.88, 184.37 and 65.09

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Solution

The fourth proportional to 122.88, 184.37 and 65.09 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 184.37 = 65.09 : x
  2. Step 2: Convert to fraction form
    122.88/184.37 = 65.09/x
  3. Step 3: Cross multiply
    122.88x = 184.37 × 65.09
  4. Step 4: Simplify right side
    122.88x = 12,000.02
  5. Step 5: Solve for x
    x = 12,000.02/122.88
  6. Step 6: Final answer
    x = 97.66

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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.