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Finding the Fourth Proportional to 59.25, 81.75 and 34.68

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Solution

The fourth proportional to 59.25, 81.75 and 34.68 is: 47.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.25 : 81.75 = 34.68 : x
  2. Step 2: Convert to fraction form
    59.25/81.75 = 34.68/x
  3. Step 3: Cross multiply
    59.25x = 81.75 × 34.68
  4. Step 4: Simplify right side
    59.25x = 2,835.09
  5. Step 5: Solve for x
    x = 2,835.09/59.25
  6. Step 6: Final answer
    x = 47.85

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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.