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Finding the Fourth Proportional to 75.42, 104.18 and 59.82

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Solution

The fourth proportional to 75.42, 104.18 and 59.82 is: 82.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 104.18 = 59.82 : x
  2. Step 2: Convert to fraction form
    75.42/104.18 = 59.82/x
  3. Step 3: Cross multiply
    75.42x = 104.18 × 59.82
  4. Step 4: Simplify right side
    75.42x = 6,232.05
  5. Step 5: Solve for x
    x = 6,232.05/75.42
  6. Step 6: Final answer
    x = 82.64

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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.