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Finding the Fourth Proportional to 55.40, 83.05 and 33.74

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Solution

The fourth proportional to 55.40, 83.05 and 33.74 is: 50.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.40 : 83.05 = 33.74 : x
  2. Step 2: Convert to fraction form
    55.40/83.05 = 33.74/x
  3. Step 3: Cross multiply
    55.40x = 83.05 × 33.74
  4. Step 4: Simplify right side
    55.40x = 2,801.73
  5. Step 5: Solve for x
    x = 2,801.73/55.40
  6. Step 6: Final answer
    x = 50.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.