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Finding the Fourth Proportional to 75.98, 104.02 and 75.02

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Solution

The fourth proportional to 75.98, 104.02 and 75.02 is: 102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.98 : 104.02 = 75.02 : x
  2. Step 2: Convert to fraction form
    75.98/104.02 = 75.02/x
  3. Step 3: Cross multiply
    75.98x = 104.02 × 75.02
  4. Step 4: Simplify right side
    75.98x = 7,803.58
  5. Step 5: Solve for x
    x = 7,803.58/75.98
  6. Step 6: Final answer
    x = 102.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.