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Finding the Fourth Proportional to 122.88, 183.44 and 106.64

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Solution

The fourth proportional to 122.88, 183.44 and 106.64 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 183.44 = 106.64 : x
  2. Step 2: Convert to fraction form
    122.88/183.44 = 106.64/x
  3. Step 3: Cross multiply
    122.88x = 183.44 × 106.64
  4. Step 4: Simplify right side
    122.88x = 19,562.04
  5. Step 5: Solve for x
    x = 19,562.04/122.88
  6. Step 6: Final answer
    x = 159.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.