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Finding the Fourth Proportional to 76.10, 114.27 and 68.27

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Solution

The fourth proportional to 76.10, 114.27 and 68.27 is: 102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 114.27 = 68.27 : x
  2. Step 2: Convert to fraction form
    76.10/114.27 = 68.27/x
  3. Step 3: Cross multiply
    76.10x = 114.27 × 68.27
  4. Step 4: Simplify right side
    76.10x = 7,800.64
  5. Step 5: Solve for x
    x = 7,800.64/76.10
  6. Step 6: Final answer
    x = 102.51

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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.