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Finding the Fourth Proportional to 69.88, 96.20 and 58.96

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Solution

The fourth proportional to 69.88, 96.20 and 58.96 is: 81.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.88 : 96.20 = 58.96 : x
  2. Step 2: Convert to fraction form
    69.88/96.20 = 58.96/x
  3. Step 3: Cross multiply
    69.88x = 96.20 × 58.96
  4. Step 4: Simplify right side
    69.88x = 5,671.95
  5. Step 5: Solve for x
    x = 5,671.95/69.88
  6. Step 6: Final answer
    x = 81.17

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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.