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Finding the Fourth Proportional to 55.72, 76.85 and 40.96

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Solution

The fourth proportional to 55.72, 76.85 and 40.96 is: 56.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.72 : 76.85 = 40.96 : x
  2. Step 2: Convert to fraction form
    55.72/76.85 = 40.96/x
  3. Step 3: Cross multiply
    55.72x = 76.85 × 40.96
  4. Step 4: Simplify right side
    55.72x = 3,147.78
  5. Step 5: Solve for x
    x = 3,147.78/55.72
  6. Step 6: Final answer
    x = 56.49

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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.