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Finding the Fourth Proportional to 139.74, 192.66 and 115.71

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Solution

The fourth proportional to 139.74, 192.66 and 115.71 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.74 : 192.66 = 115.71 : x
  2. Step 2: Convert to fraction form
    139.74/192.66 = 115.71/x
  3. Step 3: Cross multiply
    139.74x = 192.66 × 115.71
  4. Step 4: Simplify right side
    139.74x = 22,292.69
  5. Step 5: Solve for x
    x = 22,292.69/139.74
  6. Step 6: Final answer
    x = 159.53

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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.