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Finding the Fourth Proportional to 75.69, 104.29 and 57.24

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Solution

The fourth proportional to 75.69, 104.29 and 57.24 is: 78.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.69 : 104.29 = 57.24 : x
  2. Step 2: Convert to fraction form
    75.69/104.29 = 57.24/x
  3. Step 3: Cross multiply
    75.69x = 104.29 × 57.24
  4. Step 4: Simplify right side
    75.69x = 5,969.42
  5. Step 5: Solve for x
    x = 5,969.42/75.69
  6. Step 6: Final answer
    x = 78.87

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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.