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Finding the Fourth Proportional to 122.23, 182.94 and 74.17

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Solution

The fourth proportional to 122.23, 182.94 and 74.17 is: 111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.23 : 182.94 = 74.17 : x
  2. Step 2: Convert to fraction form
    122.23/182.94 = 74.17/x
  3. Step 3: Cross multiply
    122.23x = 182.94 × 74.17
  4. Step 4: Simplify right side
    122.23x = 13,568.61
  5. Step 5: Solve for x
    x = 13,568.61/122.23
  6. Step 6: Final answer
    x = 111.01

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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.