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Finding the Fourth Proportional to 101.11, 139.32 and 97.70

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Solution

The fourth proportional to 101.11, 139.32 and 97.70 is: 134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.11 : 139.32 = 97.70 : x
  2. Step 2: Convert to fraction form
    101.11/139.32 = 97.70/x
  3. Step 3: Cross multiply
    101.11x = 139.32 × 97.70
  4. Step 4: Simplify right side
    101.11x = 13,611.56
  5. Step 5: Solve for x
    x = 13,611.56/101.11
  6. Step 6: Final answer
    x = 134.62

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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.