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Finding the Fourth Proportional to 56.72, 78.22 and 50.64

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Solution

The fourth proportional to 56.72, 78.22 and 50.64 is: 69.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.72 : 78.22 = 50.64 : x
  2. Step 2: Convert to fraction form
    56.72/78.22 = 50.64/x
  3. Step 3: Cross multiply
    56.72x = 78.22 × 50.64
  4. Step 4: Simplify right side
    56.72x = 3,961.06
  5. Step 5: Solve for x
    x = 3,961.06/56.72
  6. Step 6: Final answer
    x = 69.84

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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.