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Finding the Fourth Proportional to 126.53, 174.61 and 84.44

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Solution

The fourth proportional to 126.53, 174.61 and 84.44 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.53 : 174.61 = 84.44 : x
  2. Step 2: Convert to fraction form
    126.53/174.61 = 84.44/x
  3. Step 3: Cross multiply
    126.53x = 174.61 × 84.44
  4. Step 4: Simplify right side
    126.53x = 14,744.17
  5. Step 5: Solve for x
    x = 14,744.17/126.53
  6. Step 6: Final answer
    x = 116.53

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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.