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Finding the Fourth Proportional to 101.50, 140.84 and 97.44

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Solution

The fourth proportional to 101.50, 140.84 and 97.44 is: 135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.50 : 140.84 = 97.44 : x
  2. Step 2: Convert to fraction form
    101.50/140.84 = 97.44/x
  3. Step 3: Cross multiply
    101.50x = 140.84 × 97.44
  4. Step 4: Simplify right side
    101.50x = 13,723.45
  5. Step 5: Solve for x
    x = 13,723.45/101.50
  6. Step 6: Final answer
    x = 135.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.