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Finding the Fourth Proportional to 97.72, 134.96 and 75.88

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Solution

The fourth proportional to 97.72, 134.96 and 75.88 is: 104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.72 : 134.96 = 75.88 : x
  2. Step 2: Convert to fraction form
    97.72/134.96 = 75.88/x
  3. Step 3: Cross multiply
    97.72x = 134.96 × 75.88
  4. Step 4: Simplify right side
    97.72x = 10,240.76
  5. Step 5: Solve for x
    x = 10,240.76/97.72
  6. Step 6: Final answer
    x = 104.80

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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.