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Finding the Fourth Proportional to 75.67, 104.24 and 57.24

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Solution

The fourth proportional to 75.67, 104.24 and 57.24 is: 78.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.67 : 104.24 = 57.24 : x
  2. Step 2: Convert to fraction form
    75.67/104.24 = 57.24/x
  3. Step 3: Cross multiply
    75.67x = 104.24 × 57.24
  4. Step 4: Simplify right side
    75.67x = 5,966.84
  5. Step 5: Solve for x
    x = 5,966.84/75.67
  6. Step 6: Final answer
    x = 78.86

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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.