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Finding the Fourth Proportional to 75.23, 103.92 and 51.98

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Solution

The fourth proportional to 75.23, 103.92 and 51.98 is: 71.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.23 : 103.92 = 51.98 : x
  2. Step 2: Convert to fraction form
    75.23/103.92 = 51.98/x
  3. Step 3: Cross multiply
    75.23x = 103.92 × 51.98
  4. Step 4: Simplify right side
    75.23x = 5,401.05
  5. Step 5: Solve for x
    x = 5,401.05/75.23
  6. Step 6: Final answer
    x = 71.79

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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.