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Finding the Fourth Proportional to 55.11, 82.71 and 28.07

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Solution

The fourth proportional to 55.11, 82.71 and 28.07 is: 42.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.11 : 82.71 = 28.07 : x
  2. Step 2: Convert to fraction form
    55.11/82.71 = 28.07/x
  3. Step 3: Cross multiply
    55.11x = 82.71 × 28.07
  4. Step 4: Simplify right side
    55.11x = 2,321.67
  5. Step 5: Solve for x
    x = 2,321.67/55.11
  6. Step 6: Final answer
    x = 42.13

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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.