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Finding the Fourth Proportional to 56.82, 78.35 and 47.71

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Solution

The fourth proportional to 56.82, 78.35 and 47.71 is: 65.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.82 : 78.35 = 47.71 : x
  2. Step 2: Convert to fraction form
    56.82/78.35 = 47.71/x
  3. Step 3: Cross multiply
    56.82x = 78.35 × 47.71
  4. Step 4: Simplify right side
    56.82x = 3,738.08
  5. Step 5: Solve for x
    x = 3,738.08/56.82
  6. Step 6: Final answer
    x = 65.79

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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.