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Finding the Fourth Proportional to 139.59, 192.65 and 97.07

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Solution

The fourth proportional to 139.59, 192.65 and 97.07 is: 133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.59 : 192.65 = 97.07 : x
  2. Step 2: Convert to fraction form
    139.59/192.65 = 97.07/x
  3. Step 3: Cross multiply
    139.59x = 192.65 × 97.07
  4. Step 4: Simplify right side
    139.59x = 18,700.54
  5. Step 5: Solve for x
    x = 18,700.54/139.59
  6. Step 6: Final answer
    x = 133.97

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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.