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Finding the Fourth Proportional to 75.37, 103.96 and 59.80

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Solution

The fourth proportional to 75.37, 103.96 and 59.80 is: 82.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.37 : 103.96 = 59.80 : x
  2. Step 2: Convert to fraction form
    75.37/103.96 = 59.80/x
  3. Step 3: Cross multiply
    75.37x = 103.96 × 59.80
  4. Step 4: Simplify right side
    75.37x = 6,216.80
  5. Step 5: Solve for x
    x = 6,216.80/75.37
  6. Step 6: Final answer
    x = 82.49

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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.