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Finding the Fourth Proportional to 55.92, 83.40 and 53.82

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Solution

The fourth proportional to 55.92, 83.40 and 53.82 is: 80.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.92 : 83.40 = 53.82 : x
  2. Step 2: Convert to fraction form
    55.92/83.40 = 53.82/x
  3. Step 3: Cross multiply
    55.92x = 83.40 × 53.82
  4. Step 4: Simplify right side
    55.92x = 4,488.59
  5. Step 5: Solve for x
    x = 4,488.59/55.92
  6. Step 6: Final answer
    x = 80.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.