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Finding the Fourth Proportional to 104.29, 143.95 and 83.71

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Solution

The fourth proportional to 104.29, 143.95 and 83.71 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.29 : 143.95 = 83.71 : x
  2. Step 2: Convert to fraction form
    104.29/143.95 = 83.71/x
  3. Step 3: Cross multiply
    104.29x = 143.95 × 83.71
  4. Step 4: Simplify right side
    104.29x = 12,050.05
  5. Step 5: Solve for x
    x = 12,050.05/104.29
  6. Step 6: Final answer
    x = 115.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.