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Finding the Fourth Proportional to 56.12, 77.76 and 55.25

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Solution

The fourth proportional to 56.12, 77.76 and 55.25 is: 76.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.12 : 77.76 = 55.25 : x
  2. Step 2: Convert to fraction form
    56.12/77.76 = 55.25/x
  3. Step 3: Cross multiply
    56.12x = 77.76 × 55.25
  4. Step 4: Simplify right side
    56.12x = 4,295.57
  5. Step 5: Solve for x
    x = 4,295.57/56.12
  6. Step 6: Final answer
    x = 76.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.