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Finding the Fourth Proportional to 96.09, 143.84 and 52.71

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Solution

The fourth proportional to 96.09, 143.84 and 52.71 is: 78.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.09 : 143.84 = 52.71 : x
  2. Step 2: Convert to fraction form
    96.09/143.84 = 52.71/x
  3. Step 3: Cross multiply
    96.09x = 143.84 × 52.71
  4. Step 4: Simplify right side
    96.09x = 7,581.54
  5. Step 5: Solve for x
    x = 7,581.54/96.09
  6. Step 6: Final answer
    x = 78.90

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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.