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Finding the Fourth Proportional to 97.88, 135 and 75.98

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Solution

The fourth proportional to 97.88, 135 and 75.98 is: 104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.88 : 135 = 75.98 : x
  2. Step 2: Convert to fraction form
    97.88/135 = 75.98/x
  3. Step 3: Cross multiply
    97.88x = 135 × 75.98
  4. Step 4: Simplify right side
    97.88x = 10,257.30
  5. Step 5: Solve for x
    x = 10,257.30/97.88
  6. Step 6: Final answer
    x = 104.79

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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.