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Finding the Fourth Proportional to 59.41, 82.02 and 34.89

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Solution

The fourth proportional to 59.41, 82.02 and 34.89 is: 48.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.41 : 82.02 = 34.89 : x
  2. Step 2: Convert to fraction form
    59.41/82.02 = 34.89/x
  3. Step 3: Cross multiply
    59.41x = 82.02 × 34.89
  4. Step 4: Simplify right side
    59.41x = 2,861.68
  5. Step 5: Solve for x
    x = 2,861.68/59.41
  6. Step 6: Final answer
    x = 48.17

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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.