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Finding the Fourth Proportional to 162.97, 224.71 and 126.05

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Solution

The fourth proportional to 162.97, 224.71 and 126.05 is: 173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.97 : 224.71 = 126.05 : x
  2. Step 2: Convert to fraction form
    162.97/224.71 = 126.05/x
  3. Step 3: Cross multiply
    162.97x = 224.71 × 126.05
  4. Step 4: Simplify right side
    162.97x = 28,323.26
  5. Step 5: Solve for x
    x = 28,323.26/162.97
  6. Step 6: Final answer
    x = 173.80

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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.