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Finding the Fourth Proportional to 122.49, 182.88 and 105.30

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Solution

The fourth proportional to 122.49, 182.88 and 105.30 is: 157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.49 : 182.88 = 105.30 : x
  2. Step 2: Convert to fraction form
    122.49/182.88 = 105.30/x
  3. Step 3: Cross multiply
    122.49x = 182.88 × 105.30
  4. Step 4: Simplify right side
    122.49x = 19,257.26
  5. Step 5: Solve for x
    x = 19,257.26/122.49
  6. Step 6: Final answer
    x = 157.21

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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.