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Finding the Fourth Proportional to 84.02, 125.83 and 51.54

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Solution

The fourth proportional to 84.02, 125.83 and 51.54 is: 77.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.02 : 125.83 = 51.54 : x
  2. Step 2: Convert to fraction form
    84.02/125.83 = 51.54/x
  3. Step 3: Cross multiply
    84.02x = 125.83 × 51.54
  4. Step 4: Simplify right side
    84.02x = 6,485.15
  5. Step 5: Solve for x
    x = 6,485.15/84.02
  6. Step 6: Final answer
    x = 77.18

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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.