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Finding the Fourth Proportional to 68.97, 95.25 and 58.14

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Solution

The fourth proportional to 68.97, 95.25 and 58.14 is: 80.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.97 : 95.25 = 58.14 : x
  2. Step 2: Convert to fraction form
    68.97/95.25 = 58.14/x
  3. Step 3: Cross multiply
    68.97x = 95.25 × 58.14
  4. Step 4: Simplify right side
    68.97x = 5,537.84
  5. Step 5: Solve for x
    x = 5,537.84/68.97
  6. Step 6: Final answer
    x = 80.29

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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.