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Finding the Fourth Proportional to 84.04, 115.94 and 51.24

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Solution

The fourth proportional to 84.04, 115.94 and 51.24 is: 70.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.04 : 115.94 = 51.24 : x
  2. Step 2: Convert to fraction form
    84.04/115.94 = 51.24/x
  3. Step 3: Cross multiply
    84.04x = 115.94 × 51.24
  4. Step 4: Simplify right side
    84.04x = 5,940.77
  5. Step 5: Solve for x
    x = 5,940.77/84.04
  6. Step 6: Final answer
    x = 70.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.