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Finding the Fourth Proportional to 69.64, 95.92 and 58.68

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Solution

The fourth proportional to 69.64, 95.92 and 58.68 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.64 : 95.92 = 58.68 : x
  2. Step 2: Convert to fraction form
    69.64/95.92 = 58.68/x
  3. Step 3: Cross multiply
    69.64x = 95.92 × 58.68
  4. Step 4: Simplify right side
    69.64x = 5,628.59
  5. Step 5: Solve for x
    x = 5,628.59/69.64
  6. Step 6: Final answer
    x = 80.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.