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Finding the Fourth Proportional to 56.44, 77.84 and 47.74

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Solution

The fourth proportional to 56.44, 77.84 and 47.74 is: 65.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.44 : 77.84 = 47.74 : x
  2. Step 2: Convert to fraction form
    56.44/77.84 = 47.74/x
  3. Step 3: Cross multiply
    56.44x = 77.84 × 47.74
  4. Step 4: Simplify right side
    56.44x = 3,716.08
  5. Step 5: Solve for x
    x = 3,716.08/56.44
  6. Step 6: Final answer
    x = 65.84

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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.