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Finding the Fourth Proportional to 76, 113.84 and 65.28

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Solution

The fourth proportional to 76, 113.84 and 65.28 is: 97.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76 : 113.84 = 65.28 : x
  2. Step 2: Convert to fraction form
    76/113.84 = 65.28/x
  3. Step 3: Cross multiply
    76x = 113.84 × 65.28
  4. Step 4: Simplify right side
    76x = 7,431.48
  5. Step 5: Solve for x
    x = 7,431.48/76
  6. Step 6: Final answer
    x = 97.78

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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.