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Finding the Fourth Proportional to 122.04, 182.08 and 112.93

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Solution

The fourth proportional to 122.04, 182.08 and 112.93 is: 168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.04 : 182.08 = 112.93 : x
  2. Step 2: Convert to fraction form
    122.04/182.08 = 112.93/x
  3. Step 3: Cross multiply
    122.04x = 182.08 × 112.93
  4. Step 4: Simplify right side
    122.04x = 20,561.98
  5. Step 5: Solve for x
    x = 20,561.98/122.04
  6. Step 6: Final answer
    x = 168.49

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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.