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Finding the Fourth Proportional to 54.89, 75.67 and 47.60

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Solution

The fourth proportional to 54.89, 75.67 and 47.60 is: 65.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.89 : 75.67 = 47.60 : x
  2. Step 2: Convert to fraction form
    54.89/75.67 = 47.60/x
  3. Step 3: Cross multiply
    54.89x = 75.67 × 47.60
  4. Step 4: Simplify right side
    54.89x = 3,601.39
  5. Step 5: Solve for x
    x = 3,601.39/54.89
  6. Step 6: Final answer
    x = 65.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.