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Finding the Fourth Proportional to 77.88, 116.28 and 73.92

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Solution

The fourth proportional to 77.88, 116.28 and 73.92 is: 110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.88 : 116.28 = 73.92 : x
  2. Step 2: Convert to fraction form
    77.88/116.28 = 73.92/x
  3. Step 3: Cross multiply
    77.88x = 116.28 × 73.92
  4. Step 4: Simplify right side
    77.88x = 8,595.42
  5. Step 5: Solve for x
    x = 8,595.42/77.88
  6. Step 6: Final answer
    x = 110.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.