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Finding the Fourth Proportional to 84.26, 115.98 and 75.02

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Solution

The fourth proportional to 84.26, 115.98 and 75.02 is: 103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.26 : 115.98 = 75.02 : x
  2. Step 2: Convert to fraction form
    84.26/115.98 = 75.02/x
  3. Step 3: Cross multiply
    84.26x = 115.98 × 75.02
  4. Step 4: Simplify right side
    84.26x = 8,700.82
  5. Step 5: Solve for x
    x = 8,700.82/84.26
  6. Step 6: Final answer
    x = 103.26

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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.