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Finding the Fourth Proportional to 77.14, 116.30 and 71.92

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Solution

The fourth proportional to 77.14, 116.30 and 71.92 is: 108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.14 : 116.30 = 71.92 : x
  2. Step 2: Convert to fraction form
    77.14/116.30 = 71.92/x
  3. Step 3: Cross multiply
    77.14x = 116.30 × 71.92
  4. Step 4: Simplify right side
    77.14x = 8,364.30
  5. Step 5: Solve for x
    x = 8,364.30/77.14
  6. Step 6: Final answer
    x = 108.43

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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.