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Finding the Fourth Proportional to 122.71, 183.95 and 45.62

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Solution

The fourth proportional to 122.71, 183.95 and 45.62 is: 68.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.71 : 183.95 = 45.62 : x
  2. Step 2: Convert to fraction form
    122.71/183.95 = 45.62/x
  3. Step 3: Cross multiply
    122.71x = 183.95 × 45.62
  4. Step 4: Simplify right side
    122.71x = 8,390.88
  5. Step 5: Solve for x
    x = 8,390.88/122.71
  6. Step 6: Final answer
    x = 68.38

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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.