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Finding the Fourth Proportional to 55.41, 83.02 and 27.98

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Solution

The fourth proportional to 55.41, 83.02 and 27.98 is: 41.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.41 : 83.02 = 27.98 : x
  2. Step 2: Convert to fraction form
    55.41/83.02 = 27.98/x
  3. Step 3: Cross multiply
    55.41x = 83.02 × 27.98
  4. Step 4: Simplify right side
    55.41x = 2,322.90
  5. Step 5: Solve for x
    x = 2,322.90/55.41
  6. Step 6: Final answer
    x = 41.92

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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.