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Finding the Fourth Proportional to 55.49, 76.56 and 33.65

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Solution

The fourth proportional to 55.49, 76.56 and 33.65 is: 46.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.49 : 76.56 = 33.65 : x
  2. Step 2: Convert to fraction form
    55.49/76.56 = 33.65/x
  3. Step 3: Cross multiply
    55.49x = 76.56 × 33.65
  4. Step 4: Simplify right side
    55.49x = 2,576.02
  5. Step 5: Solve for x
    x = 2,576.02/55.49
  6. Step 6: Final answer
    x = 46.43

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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.