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Finding the Fourth Proportional to 122.86, 184.10 and 77.08

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Solution

The fourth proportional to 122.86, 184.10 and 77.08 is: 115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.86 : 184.10 = 77.08 : x
  2. Step 2: Convert to fraction form
    122.86/184.10 = 77.08/x
  3. Step 3: Cross multiply
    122.86x = 184.10 × 77.08
  4. Step 4: Simplify right side
    122.86x = 14,190.43
  5. Step 5: Solve for x
    x = 14,190.43/122.86
  6. Step 6: Final answer
    x = 115.50

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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.