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Finding the Fourth Proportional to 59.45, 81.74 and 49.48

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Solution

The fourth proportional to 59.45, 81.74 and 49.48 is: 68.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.45 : 81.74 = 49.48 : x
  2. Step 2: Convert to fraction form
    59.45/81.74 = 49.48/x
  3. Step 3: Cross multiply
    59.45x = 81.74 × 49.48
  4. Step 4: Simplify right side
    59.45x = 4,044.41
  5. Step 5: Solve for x
    x = 4,044.41/59.45
  6. Step 6: Final answer
    x = 68.04

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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.