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Finding the Fourth Proportional to 125.46, 189.11 and 122.70

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Solution

The fourth proportional to 125.46, 189.11 and 122.70 is: 184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.46 : 189.11 = 122.70 : x
  2. Step 2: Convert to fraction form
    125.46/189.11 = 122.70/x
  3. Step 3: Cross multiply
    125.46x = 189.11 × 122.70
  4. Step 4: Simplify right side
    125.46x = 23,203.80
  5. Step 5: Solve for x
    x = 23,203.80/125.46
  6. Step 6: Final answer
    x = 184.95

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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.