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Finding the Fourth Proportional to 122.90, 182.80 and 111.36

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Solution

The fourth proportional to 122.90, 182.80 and 111.36 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.90 : 182.80 = 111.36 : x
  2. Step 2: Convert to fraction form
    122.90/182.80 = 111.36/x
  3. Step 3: Cross multiply
    122.90x = 182.80 × 111.36
  4. Step 4: Simplify right side
    122.90x = 20,356.61
  5. Step 5: Solve for x
    x = 20,356.61/122.90
  6. Step 6: Final answer
    x = 165.64

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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.