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Finding the Fourth Proportional to 57.76, 79.78 and 47.97

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Solution

The fourth proportional to 57.76, 79.78 and 47.97 is: 66.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.76 : 79.78 = 47.97 : x
  2. Step 2: Convert to fraction form
    57.76/79.78 = 47.97/x
  3. Step 3: Cross multiply
    57.76x = 79.78 × 47.97
  4. Step 4: Simplify right side
    57.76x = 3,826.65
  5. Step 5: Solve for x
    x = 3,826.65/57.76
  6. Step 6: Final answer
    x = 66.25

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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.