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Finding the Fourth Proportional to 75.24, 103.84 and 56.79

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Solution

The fourth proportional to 75.24, 103.84 and 56.79 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.24 : 103.84 = 56.79 : x
  2. Step 2: Convert to fraction form
    75.24/103.84 = 56.79/x
  3. Step 3: Cross multiply
    75.24x = 103.84 × 56.79
  4. Step 4: Simplify right side
    75.24x = 5,896.79
  5. Step 5: Solve for x
    x = 5,896.79/75.24
  6. Step 6: Final answer
    x = 78.37

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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.