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Finding the Fourth Proportional to 122.84, 183.95 and 71.43

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Solution

The fourth proportional to 122.84, 183.95 and 71.43 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 183.95 = 71.43 : x
  2. Step 2: Convert to fraction form
    122.84/183.95 = 71.43/x
  3. Step 3: Cross multiply
    122.84x = 183.95 × 71.43
  4. Step 4: Simplify right side
    122.84x = 13,138.77
  5. Step 5: Solve for x
    x = 13,138.77/122.84
  6. Step 6: Final answer
    x = 106.96

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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.