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Finding the Fourth Proportional to 122.52, 183.96 and 74.64

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Solution

The fourth proportional to 122.52, 183.96 and 74.64 is: 112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.52 : 183.96 = 74.64 : x
  2. Step 2: Convert to fraction form
    122.52/183.96 = 74.64/x
  3. Step 3: Cross multiply
    122.52x = 183.96 × 74.64
  4. Step 4: Simplify right side
    122.52x = 13,730.77
  5. Step 5: Solve for x
    x = 13,730.77/122.52
  6. Step 6: Final answer
    x = 112.07

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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.