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Finding the Fourth Proportional to 126.63, 174.42 and 112.05

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Solution

The fourth proportional to 126.63, 174.42 and 112.05 is: 154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.63 : 174.42 = 112.05 : x
  2. Step 2: Convert to fraction form
    126.63/174.42 = 112.05/x
  3. Step 3: Cross multiply
    126.63x = 174.42 × 112.05
  4. Step 4: Simplify right side
    126.63x = 19,543.76
  5. Step 5: Solve for x
    x = 19,543.76/126.63
  6. Step 6: Final answer
    x = 154.34

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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.