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Finding the Fourth Proportional to 56.56, 77.72 and 56.20

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Solution

The fourth proportional to 56.56, 77.72 and 56.20 is: 77.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.56 : 77.72 = 56.20 : x
  2. Step 2: Convert to fraction form
    56.56/77.72 = 56.20/x
  3. Step 3: Cross multiply
    56.56x = 77.72 × 56.20
  4. Step 4: Simplify right side
    56.56x = 4,367.86
  5. Step 5: Solve for x
    x = 4,367.86/56.56
  6. Step 6: Final answer
    x = 77.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.