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Finding the Fourth Proportional to 75.20, 103.82 and 51.57

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Solution

The fourth proportional to 75.20, 103.82 and 51.57 is: 71.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.20 : 103.82 = 51.57 : x
  2. Step 2: Convert to fraction form
    75.20/103.82 = 51.57/x
  3. Step 3: Cross multiply
    75.20x = 103.82 × 51.57
  4. Step 4: Simplify right side
    75.20x = 5,353.74
  5. Step 5: Solve for x
    x = 5,353.74/75.20
  6. Step 6: Final answer
    x = 71.20

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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.