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Finding the Fourth Proportional to 49.66, 68.34 and 47.89

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Solution

The fourth proportional to 49.66, 68.34 and 47.89 is: 65.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.66 : 68.34 = 47.89 : x
  2. Step 2: Convert to fraction form
    49.66/68.34 = 47.89/x
  3. Step 3: Cross multiply
    49.66x = 68.34 × 47.89
  4. Step 4: Simplify right side
    49.66x = 3,273.07
  5. Step 5: Solve for x
    x = 3,273.07/49.66
  6. Step 6: Final answer
    x = 65.91

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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.