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Finding the Fourth Proportional to 59.12, 81.54 and 35.79

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Solution

The fourth proportional to 59.12, 81.54 and 35.79 is: 49.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.12 : 81.54 = 35.79 : x
  2. Step 2: Convert to fraction form
    59.12/81.54 = 35.79/x
  3. Step 3: Cross multiply
    59.12x = 81.54 × 35.79
  4. Step 4: Simplify right side
    59.12x = 2,918.01
  5. Step 5: Solve for x
    x = 2,918.01/59.12
  6. Step 6: Final answer
    x = 49.36

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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.