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Finding the Fourth Proportional to 76.28, 114.83 and 69.89

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Solution

The fourth proportional to 76.28, 114.83 and 69.89 is: 105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.28 : 114.83 = 69.89 : x
  2. Step 2: Convert to fraction form
    76.28/114.83 = 69.89/x
  3. Step 3: Cross multiply
    76.28x = 114.83 × 69.89
  4. Step 4: Simplify right side
    76.28x = 8,024.55
  5. Step 5: Solve for x
    x = 8,024.55/76.28
  6. Step 6: Final answer
    x = 105.21

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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.