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Finding the Fourth Proportional to 75.42, 103.82 and 56.96

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Solution

The fourth proportional to 75.42, 103.82 and 56.96 is: 78.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 103.82 = 56.96 : x
  2. Step 2: Convert to fraction form
    75.42/103.82 = 56.96/x
  3. Step 3: Cross multiply
    75.42x = 103.82 × 56.96
  4. Step 4: Simplify right side
    75.42x = 5,913.59
  5. Step 5: Solve for x
    x = 5,913.59/75.42
  6. Step 6: Final answer
    x = 78.41

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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.