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Finding the Fourth Proportional to 56.08, 76.76 and 55.84

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Solution

The fourth proportional to 56.08, 76.76 and 55.84 is: 76.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.08 : 76.76 = 55.84 : x
  2. Step 2: Convert to fraction form
    56.08/76.76 = 55.84/x
  3. Step 3: Cross multiply
    56.08x = 76.76 × 55.84
  4. Step 4: Simplify right side
    56.08x = 4,286.28
  5. Step 5: Solve for x
    x = 4,286.28/56.08
  6. Step 6: Final answer
    x = 76.43

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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.