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Finding the Fourth Proportional to 122.72, 185.14 and 116.30

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Solution

The fourth proportional to 122.72, 185.14 and 116.30 is: 175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.72 : 185.14 = 116.30 : x
  2. Step 2: Convert to fraction form
    122.72/185.14 = 116.30/x
  3. Step 3: Cross multiply
    122.72x = 185.14 × 116.30
  4. Step 4: Simplify right side
    122.72x = 21,530.95
  5. Step 5: Solve for x
    x = 21,530.95/122.72
  6. Step 6: Final answer
    x = 175.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.