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Finding the Fourth Proportional to 75.59, 104.31 and 49.37

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Solution

The fourth proportional to 75.59, 104.31 and 49.37 is: 68.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.59 : 104.31 = 49.37 : x
  2. Step 2: Convert to fraction form
    75.59/104.31 = 49.37/x
  3. Step 3: Cross multiply
    75.59x = 104.31 × 49.37
  4. Step 4: Simplify right side
    75.59x = 5,149.26
  5. Step 5: Solve for x
    x = 5,149.26/75.59
  6. Step 6: Final answer
    x = 68.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.