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Finding the Fourth Proportional to 139.23, 192.21 and 97.89

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Solution

The fourth proportional to 139.23, 192.21 and 97.89 is: 135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.23 : 192.21 = 97.89 : x
  2. Step 2: Convert to fraction form
    139.23/192.21 = 97.89/x
  3. Step 3: Cross multiply
    139.23x = 192.21 × 97.89
  4. Step 4: Simplify right side
    139.23x = 18,815.44
  5. Step 5: Solve for x
    x = 18,815.44/139.23
  6. Step 6: Final answer
    x = 135.14

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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.