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Finding the Fourth Proportional to 126.47, 174.69 and 109.16

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Solution

The fourth proportional to 126.47, 174.69 and 109.16 is: 150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.47 : 174.69 = 109.16 : x
  2. Step 2: Convert to fraction form
    126.47/174.69 = 109.16/x
  3. Step 3: Cross multiply
    126.47x = 174.69 × 109.16
  4. Step 4: Simplify right side
    126.47x = 19,069.16
  5. Step 5: Solve for x
    x = 19,069.16/126.47
  6. Step 6: Final answer
    x = 150.78

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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.