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Finding the Fourth Proportional to 77.34, 106.24 and 76.44

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Solution

The fourth proportional to 77.34, 106.24 and 76.44 is: 105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 106.24 = 76.44 : x
  2. Step 2: Convert to fraction form
    77.34/106.24 = 76.44/x
  3. Step 3: Cross multiply
    77.34x = 106.24 × 76.44
  4. Step 4: Simplify right side
    77.34x = 8,120.79
  5. Step 5: Solve for x
    x = 8,120.79/77.34
  6. Step 6: Final answer
    x = 105.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.