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Finding the Fourth Proportional to 75.66, 104.49 and 59.31

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Solution

The fourth proportional to 75.66, 104.49 and 59.31 is: 81.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.66 : 104.49 = 59.31 : x
  2. Step 2: Convert to fraction form
    75.66/104.49 = 59.31/x
  3. Step 3: Cross multiply
    75.66x = 104.49 × 59.31
  4. Step 4: Simplify right side
    75.66x = 6,197.30
  5. Step 5: Solve for x
    x = 6,197.30/75.66
  6. Step 6: Final answer
    x = 81.91

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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.