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Finding the Fourth Proportional to 126.32, 173.95 and 109.71

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Solution

The fourth proportional to 126.32, 173.95 and 109.71 is: 151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.32 : 173.95 = 109.71 : x
  2. Step 2: Convert to fraction form
    126.32/173.95 = 109.71/x
  3. Step 3: Cross multiply
    126.32x = 173.95 × 109.71
  4. Step 4: Simplify right side
    126.32x = 19,083.78
  5. Step 5: Solve for x
    x = 19,083.78/126.32
  6. Step 6: Final answer
    x = 151.08

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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.