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Finding the Fourth Proportional to 55.76, 76.82 and 40.23

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Solution

The fourth proportional to 55.76, 76.82 and 40.23 is: 55.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.76 : 76.82 = 40.23 : x
  2. Step 2: Convert to fraction form
    55.76/76.82 = 40.23/x
  3. Step 3: Cross multiply
    55.76x = 76.82 × 40.23
  4. Step 4: Simplify right side
    55.76x = 3,090.27
  5. Step 5: Solve for x
    x = 3,090.27/55.76
  6. Step 6: Final answer
    x = 55.43

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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.