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Finding the Fourth Proportional to 84.09, 115.98 and 51.33

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Solution

The fourth proportional to 84.09, 115.98 and 51.33 is: 70.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 115.98 = 51.33 : x
  2. Step 2: Convert to fraction form
    84.09/115.98 = 51.33/x
  3. Step 3: Cross multiply
    84.09x = 115.98 × 51.33
  4. Step 4: Simplify right side
    84.09x = 5,953.25
  5. Step 5: Solve for x
    x = 5,953.25/84.09
  6. Step 6: Final answer
    x = 70.80

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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.