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Finding the Fourth Proportional to 82.01, 122.93 and 27.87

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Solution

The fourth proportional to 82.01, 122.93 and 27.87 is: 41.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.01 : 122.93 = 27.87 : x
  2. Step 2: Convert to fraction form
    82.01/122.93 = 27.87/x
  3. Step 3: Cross multiply
    82.01x = 122.93 × 27.87
  4. Step 4: Simplify right side
    82.01x = 3,426.02
  5. Step 5: Solve for x
    x = 3,426.02/82.01
  6. Step 6: Final answer
    x = 41.78

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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.