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Finding the Fourth Proportional to 55.31, 76.37 and 49.46

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Solution

The fourth proportional to 55.31, 76.37 and 49.46 is: 68.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.31 : 76.37 = 49.46 : x
  2. Step 2: Convert to fraction form
    55.31/76.37 = 49.46/x
  3. Step 3: Cross multiply
    55.31x = 76.37 × 49.46
  4. Step 4: Simplify right side
    55.31x = 3,777.20
  5. Step 5: Solve for x
    x = 3,777.20/55.31
  6. Step 6: Final answer
    x = 68.29

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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.