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Finding the Fourth Proportional to 122.08, 182.92 and 87.78

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Solution

The fourth proportional to 122.08, 182.92 and 87.78 is: 131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.08 : 182.92 = 87.78 : x
  2. Step 2: Convert to fraction form
    122.08/182.92 = 87.78/x
  3. Step 3: Cross multiply
    122.08x = 182.92 × 87.78
  4. Step 4: Simplify right side
    122.08x = 16,056.72
  5. Step 5: Solve for x
    x = 16,056.72/122.08
  6. Step 6: Final answer
    x = 131.53

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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.