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Finding the Fourth Proportional to 126.71, 174.47 and 121.52

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Solution

The fourth proportional to 126.71, 174.47 and 121.52 is: 167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.71 : 174.47 = 121.52 : x
  2. Step 2: Convert to fraction form
    126.71/174.47 = 121.52/x
  3. Step 3: Cross multiply
    126.71x = 174.47 × 121.52
  4. Step 4: Simplify right side
    126.71x = 21,201.59
  5. Step 5: Solve for x
    x = 21,201.59/126.71
  6. Step 6: Final answer
    x = 167.32

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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.