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Finding the Fourth Proportional to 122.28, 183.10 and 78.88

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Solution

The fourth proportional to 122.28, 183.10 and 78.88 is: 118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.28 : 183.10 = 78.88 : x
  2. Step 2: Convert to fraction form
    122.28/183.10 = 78.88/x
  3. Step 3: Cross multiply
    122.28x = 183.10 × 78.88
  4. Step 4: Simplify right side
    122.28x = 14,442.93
  5. Step 5: Solve for x
    x = 14,442.93/122.28
  6. Step 6: Final answer
    x = 118.11

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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.